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Finding the Fourth Proportional to 20,342.57, 30,514.07 and 9,810.14

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Solution

The fourth proportional to 20,342.57, 30,514.07 and 9,810.14 is: 14,715.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,342.57 : 30,514.07 = 9,810.14 : x
  2. Step 2: Convert to fraction form
    20,342.57/30,514.07 = 9,810.14/x
  3. Step 3: Cross multiply
    20,342.57x = 30,514.07 × 9,810.14
  4. Step 4: Simplify right side
    20,342.57x = 299,347,325.90
  5. Step 5: Solve for x
    x = 299,347,325.90/20,342.57
  6. Step 6: Final answer
    x = 14,715.31

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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.