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Finding the Fourth Proportional to 25,134.84, 37,702.32 and 8,490.42

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Solution

The fourth proportional to 25,134.84, 37,702.32 and 8,490.42 is: 12,735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,134.84 : 37,702.32 = 8,490.42 : x
  2. Step 2: Convert to fraction form
    25,134.84/37,702.32 = 8,490.42/x
  3. Step 3: Cross multiply
    25,134.84x = 37,702.32 × 8,490.42
  4. Step 4: Simplify right side
    25,134.84x = 320,108,531.77
  5. Step 5: Solve for x
    x = 320,108,531.77/25,134.84
  6. Step 6: Final answer
    x = 12,735.65

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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.