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Finding the Fourth Proportional to 16,549.20, 22,838.40 and 9,475.20

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Solution

The fourth proportional to 16,549.20, 22,838.40 and 9,475.20 is: 13,076.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549.20 : 22,838.40 = 9,475.20 : x
  2. Step 2: Convert to fraction form
    16,549.20/22,838.40 = 9,475.20/x
  3. Step 3: Cross multiply
    16,549.20x = 22,838.40 × 9,475.20
  4. Step 4: Simplify right side
    16,549.20x = 216,398,407.68
  5. Step 5: Solve for x
    x = 216,398,407.68/16,549.20
  6. Step 6: Final answer
    x = 13,076.06

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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.