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Finding the Fourth Proportional to 16,547.65, 22,837.88 and 9,380.13

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Solution

The fourth proportional to 16,547.65, 22,837.88 and 9,380.13 is: 12,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.65 : 22,837.88 = 9,380.13 : x
  2. Step 2: Convert to fraction form
    16,547.65/22,837.88 = 9,380.13/x
  3. Step 3: Cross multiply
    16,547.65x = 22,837.88 × 9,380.13
  4. Step 4: Simplify right side
    16,547.65x = 214,222,185.96
  5. Step 5: Solve for x
    x = 214,222,185.96/16,547.65
  6. Step 6: Final answer
    x = 12,945.78

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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.