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Finding the Fourth Proportional to 18,271, 25,214.16 and 9,887.68

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Solution

The fourth proportional to 18,271, 25,214.16 and 9,887.68 is: 13,645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,271 : 25,214.16 = 9,887.68 : x
  2. Step 2: Convert to fraction form
    18,271/25,214.16 = 9,887.68/x
  3. Step 3: Cross multiply
    18,271x = 25,214.16 × 9,887.68
  4. Step 4: Simplify right side
    18,271x = 249,309,545.55
  5. Step 5: Solve for x
    x = 249,309,545.55/18,271
  6. Step 6: Final answer
    x = 13,645.10

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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.