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Finding the Fourth Proportional to 25,010.70, 37,516.05 and 6,542.70

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Solution

The fourth proportional to 25,010.70, 37,516.05 and 6,542.70 is: 9,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,010.70 : 37,516.05 = 6,542.70 : x
  2. Step 2: Convert to fraction form
    25,010.70/37,516.05 = 6,542.70/x
  3. Step 3: Cross multiply
    25,010.70x = 37,516.05 × 6,542.70
  4. Step 4: Simplify right side
    25,010.70x = 245,456,260.34
  5. Step 5: Solve for x
    x = 245,456,260.34/25,010.70
  6. Step 6: Final answer
    x = 9,814.05

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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.