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Finding the Fourth Proportional to 14,932.74, 20,609.08 and 9,642.93

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Solution

The fourth proportional to 14,932.74, 20,609.08 and 9,642.93 is: 13,308.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,932.74 : 20,609.08 = 9,642.93 : x
  2. Step 2: Convert to fraction form
    14,932.74/20,609.08 = 9,642.93/x
  3. Step 3: Cross multiply
    14,932.74x = 20,609.08 × 9,642.93
  4. Step 4: Simplify right side
    14,932.74x = 198,731,915.80
  5. Step 5: Solve for x
    x = 198,731,915.80/14,932.74
  6. Step 6: Final answer
    x = 13,308.47

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