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Finding the Fourth Proportional to 16,416.68, 22,650.12 and 9,702.92

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Solution

The fourth proportional to 16,416.68, 22,650.12 and 9,702.92 is: 13,387.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.68 : 22,650.12 = 9,702.92 : x
  2. Step 2: Convert to fraction form
    16,416.68/22,650.12 = 9,702.92/x
  3. Step 3: Cross multiply
    16,416.68x = 22,650.12 × 9,702.92
  4. Step 4: Simplify right side
    16,416.68x = 219,772,302.35
  5. Step 5: Solve for x
    x = 219,772,302.35/16,416.68
  6. Step 6: Final answer
    x = 13,387.13

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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.