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Finding the Fourth Proportional to 25,098.35, 37,639.67 and 9,085.87

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Solution

The fourth proportional to 25,098.35, 37,639.67 and 9,085.87 is: 13,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,098.35 : 37,639.67 = 9,085.87 : x
  2. Step 2: Convert to fraction form
    25,098.35/37,639.67 = 9,085.87/x
  3. Step 3: Cross multiply
    25,098.35x = 37,639.67 × 9,085.87
  4. Step 4: Simplify right side
    25,098.35x = 341,989,077.08
  5. Step 5: Solve for x
    x = 341,989,077.08/25,098.35
  6. Step 6: Final answer
    x = 13,625.96

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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.