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Finding the Fourth Proportional to 15,882.48, 23,818.86 and 6,023.16

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Solution

The fourth proportional to 15,882.48, 23,818.86 and 6,023.16 is: 9,032.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.48 : 23,818.86 = 6,023.16 : x
  2. Step 2: Convert to fraction form
    15,882.48/23,818.86 = 6,023.16/x
  3. Step 3: Cross multiply
    15,882.48x = 23,818.86 × 6,023.16
  4. Step 4: Simplify right side
    15,882.48x = 143,464,804.80
  5. Step 5: Solve for x
    x = 143,464,804.80/15,882.48
  6. Step 6: Final answer
    x = 9,032.90

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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.