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Finding the Fourth Proportional to 25,507.34, 38,259.96 and 8,871.14

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Solution

The fourth proportional to 25,507.34, 38,259.96 and 8,871.14 is: 13,306.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,507.34 : 38,259.96 = 8,871.14 : x
  2. Step 2: Convert to fraction form
    25,507.34/38,259.96 = 8,871.14/x
  3. Step 3: Cross multiply
    25,507.34x = 38,259.96 × 8,871.14
  4. Step 4: Simplify right side
    25,507.34x = 339,409,461.55
  5. Step 5: Solve for x
    x = 339,409,461.55/25,507.34
  6. Step 6: Final answer
    x = 13,306.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.