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Finding the Fourth Proportional to 16,470.80, 22,729.62 and 9,397.16

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Solution

The fourth proportional to 16,470.80, 22,729.62 and 9,397.16 is: 12,968.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.80 : 22,729.62 = 9,397.16 : x
  2. Step 2: Convert to fraction form
    16,470.80/22,729.62 = 9,397.16/x
  3. Step 3: Cross multiply
    16,470.80x = 22,729.62 × 9,397.16
  4. Step 4: Simplify right side
    16,470.80x = 213,593,875.88
  5. Step 5: Solve for x
    x = 213,593,875.88/16,470.80
  6. Step 6: Final answer
    x = 12,968.03

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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.