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Finding the Fourth Proportional to 25,046.50, 37,582.71 and 12,734.50

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Solution

The fourth proportional to 25,046.50, 37,582.71 and 12,734.50 is: 19,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,046.50 : 37,582.71 = 12,734.50 : x
  2. Step 2: Convert to fraction form
    25,046.50/37,582.71 = 12,734.50/x
  3. Step 3: Cross multiply
    25,046.50x = 37,582.71 × 12,734.50
  4. Step 4: Simplify right side
    25,046.50x = 478,597,020.50
  5. Step 5: Solve for x
    x = 478,597,020.50/25,046.50
  6. Step 6: Final answer
    x = 19,108.34

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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.