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Finding the Fourth Proportional to 20,291.04, 30,439 and 7,808.16

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Solution

The fourth proportional to 20,291.04, 30,439 and 7,808.16 is: 11,713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,291.04 : 30,439 = 7,808.16 : x
  2. Step 2: Convert to fraction form
    20,291.04/30,439 = 7,808.16/x
  3. Step 3: Cross multiply
    20,291.04x = 30,439 × 7,808.16
  4. Step 4: Simplify right side
    20,291.04x = 237,672,582.24
  5. Step 5: Solve for x
    x = 237,672,582.24/20,291.04
  6. Step 6: Final answer
    x = 11,713.18

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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.