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Finding the Fourth Proportional to 16,547.31, 22,835.25 and 8,993.61

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Solution

The fourth proportional to 16,547.31, 22,835.25 and 8,993.61 is: 12,411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.31 : 22,835.25 = 8,993.61 : x
  2. Step 2: Convert to fraction form
    16,547.31/22,835.25 = 8,993.61/x
  3. Step 3: Cross multiply
    16,547.31x = 22,835.25 × 8,993.61
  4. Step 4: Simplify right side
    16,547.31x = 205,371,332.75
  5. Step 5: Solve for x
    x = 205,371,332.75/16,547.31
  6. Step 6: Final answer
    x = 12,411.16

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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.