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Finding the Fourth Proportional to 16,366.12, 22,582.72 and 9,196.40

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Solution

The fourth proportional to 16,366.12, 22,582.72 and 9,196.40 is: 12,689.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,366.12 : 22,582.72 = 9,196.40 : x
  2. Step 2: Convert to fraction form
    16,366.12/22,582.72 = 9,196.40/x
  3. Step 3: Cross multiply
    16,366.12x = 22,582.72 × 9,196.40
  4. Step 4: Simplify right side
    16,366.12x = 207,679,726.21
  5. Step 5: Solve for x
    x = 207,679,726.21/16,366.12
  6. Step 6: Final answer
    x = 12,689.61

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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.