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Finding the Fourth Proportional to 18,280.64, 25,227.34 and 9,897.12

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Solution

The fourth proportional to 18,280.64, 25,227.34 and 9,897.12 is: 13,658.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,280.64 : 25,227.34 = 9,897.12 : x
  2. Step 2: Convert to fraction form
    18,280.64/25,227.34 = 9,897.12/x
  3. Step 3: Cross multiply
    18,280.64x = 25,227.34 × 9,897.12
  4. Step 4: Simplify right side
    18,280.64x = 249,678,011.26
  5. Step 5: Solve for x
    x = 249,678,011.26/18,280.64
  6. Step 6: Final answer
    x = 13,658.06

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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.