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Finding the Fourth Proportional to 25,602.38, 38,403.56 and 7,134.38

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Solution

The fourth proportional to 25,602.38, 38,403.56 and 7,134.38 is: 10,701.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,602.38 : 38,403.56 = 7,134.38 : x
  2. Step 2: Convert to fraction form
    25,602.38/38,403.56 = 7,134.38/x
  3. Step 3: Cross multiply
    25,602.38x = 38,403.56 × 7,134.38
  4. Step 4: Simplify right side
    25,602.38x = 273,985,590.39
  5. Step 5: Solve for x
    x = 273,985,590.39/25,602.38
  6. Step 6: Final answer
    x = 10,701.57

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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.