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Finding the Fourth Proportional to 16,261.65, 22,437.27 and 9,892.62

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Solution

The fourth proportional to 16,261.65, 22,437.27 and 9,892.62 is: 13,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,261.65 : 22,437.27 = 9,892.62 : x
  2. Step 2: Convert to fraction form
    16,261.65/22,437.27 = 9,892.62/x
  3. Step 3: Cross multiply
    16,261.65x = 22,437.27 × 9,892.62
  4. Step 4: Simplify right side
    16,261.65x = 221,963,385.95
  5. Step 5: Solve for x
    x = 221,963,385.95/16,261.65
  6. Step 6: Final answer
    x = 13,649.50

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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.