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Finding the Fourth Proportional to 25,507.84, 38,265.60 and 9,088

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Solution

The fourth proportional to 25,507.84, 38,265.60 and 9,088 is: 13,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,507.84 : 38,265.60 = 9,088 : x
  2. Step 2: Convert to fraction form
    25,507.84/38,265.60 = 9,088/x
  3. Step 3: Cross multiply
    25,507.84x = 38,265.60 × 9,088
  4. Step 4: Simplify right side
    25,507.84x = 347,757,772.80
  5. Step 5: Solve for x
    x = 347,757,772.80/25,507.84
  6. Step 6: Final answer
    x = 13,633.37

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Why These Related Problems?

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