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Finding the Fourth Proportional to 25,141.59, 37,717.25 and 9,558

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Solution

The fourth proportional to 25,141.59, 37,717.25 and 9,558 is: 14,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,141.59 : 37,717.25 = 9,558 : x
  2. Step 2: Convert to fraction form
    25,141.59/37,717.25 = 9,558/x
  3. Step 3: Cross multiply
    25,141.59x = 37,717.25 × 9,558
  4. Step 4: Simplify right side
    25,141.59x = 360,501,427.71
  5. Step 5: Solve for x
    x = 360,501,427.71/25,141.59
  6. Step 6: Final answer
    x = 14,338.85

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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.