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Finding the Fourth Proportional to 16,397.76, 22,624.56 and 9,323.04

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Solution

The fourth proportional to 16,397.76, 22,624.56 and 9,323.04 is: 12,863.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,397.76 : 22,624.56 = 9,323.04 : x
  2. Step 2: Convert to fraction form
    16,397.76/22,624.56 = 9,323.04/x
  3. Step 3: Cross multiply
    16,397.76x = 22,624.56 × 9,323.04
  4. Step 4: Simplify right side
    16,397.76x = 210,929,677.86
  5. Step 5: Solve for x
    x = 210,929,677.86/16,397.76
  6. Step 6: Final answer
    x = 12,863.32

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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.