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Finding the Fourth Proportional to 15,638.31, 23,448.20 and 6,282.77

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Solution

The fourth proportional to 15,638.31, 23,448.20 and 6,282.77 is: 9,420.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.31 : 23,448.20 = 6,282.77 : x
  2. Step 2: Convert to fraction form
    15,638.31/23,448.20 = 6,282.77/x
  3. Step 3: Cross multiply
    15,638.31x = 23,448.20 × 6,282.77
  4. Step 4: Simplify right side
    15,638.31x = 147,319,498.86
  5. Step 5: Solve for x
    x = 147,319,498.86/15,638.31
  6. Step 6: Final answer
    x = 9,420.42

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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.