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Finding the Fourth Proportional to 17,462.94, 24,098.14 and 9,909.11

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Solution

The fourth proportional to 17,462.94, 24,098.14 and 9,909.11 is: 13,674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,462.94 : 24,098.14 = 9,909.11 : x
  2. Step 2: Convert to fraction form
    17,462.94/24,098.14 = 9,909.11/x
  3. Step 3: Cross multiply
    17,462.94x = 24,098.14 × 9,909.11
  4. Step 4: Simplify right side
    17,462.94x = 238,791,001.40
  5. Step 5: Solve for x
    x = 238,791,001.40/17,462.94
  6. Step 6: Final answer
    x = 13,674.16

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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.