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Finding the Fourth Proportional to 16,642.43, 22,969.50 and 9,836.16

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Solution

The fourth proportional to 16,642.43, 22,969.50 and 9,836.16 is: 13,575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,642.43 : 22,969.50 = 9,836.16 : x
  2. Step 2: Convert to fraction form
    16,642.43/22,969.50 = 9,836.16/x
  3. Step 3: Cross multiply
    16,642.43x = 22,969.50 × 9,836.16
  4. Step 4: Simplify right side
    16,642.43x = 225,931,677.12
  5. Step 5: Solve for x
    x = 225,931,677.12/16,642.43
  6. Step 6: Final answer
    x = 13,575.65

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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.