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Finding the Fourth Proportional to 17,342.84, 23,944.84 and 11,384.64

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Solution

The fourth proportional to 17,342.84, 23,944.84 and 11,384.64 is: 15,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,342.84 : 23,944.84 = 11,384.64 : x
  2. Step 2: Convert to fraction form
    17,342.84/23,944.84 = 11,384.64/x
  3. Step 3: Cross multiply
    17,342.84x = 23,944.84 × 11,384.64
  4. Step 4: Simplify right side
    17,342.84x = 272,603,383.26
  5. Step 5: Solve for x
    x = 272,603,383.26/17,342.84
  6. Step 6: Final answer
    x = 15,718.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.