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Finding the Fourth Proportional to 25,507.38, 35,200.50 and 14,177.59

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Solution

The fourth proportional to 25,507.38, 35,200.50 and 14,177.59 is: 19,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,507.38 : 35,200.50 = 14,177.59 : x
  2. Step 2: Convert to fraction form
    25,507.38/35,200.50 = 14,177.59/x
  3. Step 3: Cross multiply
    25,507.38x = 35,200.50 × 14,177.59
  4. Step 4: Simplify right side
    25,507.38x = 499,058,256.80
  5. Step 5: Solve for x
    x = 499,058,256.80/25,507.38
  6. Step 6: Final answer
    x = 19,565.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.