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Finding the Fourth Proportional to 25,010.16, 37,514.82 and 6,542.16

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Solution

The fourth proportional to 25,010.16, 37,514.82 and 6,542.16 is: 9,813.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,010.16 : 37,514.82 = 6,542.16 : x
  2. Step 2: Convert to fraction form
    25,010.16/37,514.82 = 6,542.16/x
  3. Step 3: Cross multiply
    25,010.16x = 37,514.82 × 6,542.16
  4. Step 4: Simplify right side
    25,010.16x = 245,427,954.81
  5. Step 5: Solve for x
    x = 245,427,954.81/25,010.16
  6. Step 6: Final answer
    x = 9,813.13

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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.