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Finding the Fourth Proportional to 17,700.92, 24,426.64 and 9,742.40

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Solution

The fourth proportional to 17,700.92, 24,426.64 and 9,742.40 is: 13,444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,700.92 : 24,426.64 = 9,742.40 : x
  2. Step 2: Convert to fraction form
    17,700.92/24,426.64 = 9,742.40/x
  3. Step 3: Cross multiply
    17,700.92x = 24,426.64 × 9,742.40
  4. Step 4: Simplify right side
    17,700.92x = 237,974,097.54
  5. Step 5: Solve for x
    x = 237,974,097.54/17,700.92
  6. Step 6: Final answer
    x = 13,444.17

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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.