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Finding the Fourth Proportional to 16,562.76, 22,857.54 and 9,490.36

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Solution

The fourth proportional to 16,562.76, 22,857.54 and 9,490.36 is: 13,097.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,562.76 : 22,857.54 = 9,490.36 : x
  2. Step 2: Convert to fraction form
    16,562.76/22,857.54 = 9,490.36/x
  3. Step 3: Cross multiply
    16,562.76x = 22,857.54 × 9,490.36
  4. Step 4: Simplify right side
    16,562.76x = 216,926,283.31
  5. Step 5: Solve for x
    x = 216,926,283.31/16,562.76
  6. Step 6: Final answer
    x = 13,097.23

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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.