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Finding the Fourth Proportional to 24,587.76, 36,862.47 and 11,438.40

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Solution

The fourth proportional to 24,587.76, 36,862.47 and 11,438.40 is: 17,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,587.76 : 36,862.47 = 11,438.40 : x
  2. Step 2: Convert to fraction form
    24,587.76/36,862.47 = 11,438.40/x
  3. Step 3: Cross multiply
    24,587.76x = 36,862.47 × 11,438.40
  4. Step 4: Simplify right side
    24,587.76x = 421,647,676.85
  5. Step 5: Solve for x
    x = 421,647,676.85/24,587.76
  6. Step 6: Final answer
    x = 17,148.68

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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.