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Finding the Fourth Proportional to 17,967.84, 24,795.12 and 10,009.68

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Solution

The fourth proportional to 17,967.84, 24,795.12 and 10,009.68 is: 13,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,967.84 : 24,795.12 = 10,009.68 : x
  2. Step 2: Convert to fraction form
    17,967.84/24,795.12 = 10,009.68/x
  3. Step 3: Cross multiply
    17,967.84x = 24,795.12 × 10,009.68
  4. Step 4: Simplify right side
    17,967.84x = 248,191,216.76
  5. Step 5: Solve for x
    x = 248,191,216.76/17,967.84
  6. Step 6: Final answer
    x = 13,813.08

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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.