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Finding the Fourth Proportional to 25,507.14, 35,200.16 and 14,177.34

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Solution

The fourth proportional to 25,507.14, 35,200.16 and 14,177.34 is: 19,564.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,507.14 : 35,200.16 = 14,177.34 : x
  2. Step 2: Convert to fraction form
    25,507.14/35,200.16 = 14,177.34/x
  3. Step 3: Cross multiply
    25,507.14x = 35,200.16 × 14,177.34
  4. Step 4: Simplify right side
    25,507.14x = 499,044,565.49
  5. Step 5: Solve for x
    x = 499,044,565.49/25,507.14
  6. Step 6: Final answer
    x = 19,564.90

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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.