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Finding the Fourth Proportional to 25,602.64, 38,403.93 and 7,134.64

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Solution

The fourth proportional to 25,602.64, 38,403.93 and 7,134.64 is: 10,701.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,602.64 : 38,403.93 = 7,134.64 : x
  2. Step 2: Convert to fraction form
    25,602.64/38,403.93 = 7,134.64/x
  3. Step 3: Cross multiply
    25,602.64x = 38,403.93 × 7,134.64
  4. Step 4: Simplify right side
    25,602.64x = 273,998,215.14
  5. Step 5: Solve for x
    x = 273,998,215.14/25,602.64
  6. Step 6: Final answer
    x = 10,701.95

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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.