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Finding the Fourth Proportional to 24,497.84, 33,807.36 and 13,319.84

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Solution

The fourth proportional to 24,497.84, 33,807.36 and 13,319.84 is: 18,381.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.84 : 33,807.36 = 13,319.84 : x
  2. Step 2: Convert to fraction form
    24,497.84/33,807.36 = 13,319.84/x
  3. Step 3: Cross multiply
    24,497.84x = 33,807.36 × 13,319.84
  4. Step 4: Simplify right side
    24,497.84x = 450,308,626.02
  5. Step 5: Solve for x
    x = 450,308,626.02/24,497.84
  6. Step 6: Final answer
    x = 18,381.56

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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.