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Finding the Fourth Proportional to 25,134.64, 37,702.50 and 7,604.44

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Solution

The fourth proportional to 25,134.64, 37,702.50 and 7,604.44 is: 11,406.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,134.64 : 37,702.50 = 7,604.44 : x
  2. Step 2: Convert to fraction form
    25,134.64/37,702.50 = 7,604.44/x
  3. Step 3: Cross multiply
    25,134.64x = 37,702.50 × 7,604.44
  4. Step 4: Simplify right side
    25,134.64x = 286,706,399.10
  5. Step 5: Solve for x
    x = 286,706,399.10/25,134.64
  6. Step 6: Final answer
    x = 11,406.82

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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.