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Finding the Fourth Proportional to 24,238.47, 36,358.51 and 6,706.83

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Solution

The fourth proportional to 24,238.47, 36,358.51 and 6,706.83 is: 10,060.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,238.47 : 36,358.51 = 6,706.83 : x
  2. Step 2: Convert to fraction form
    24,238.47/36,358.51 = 6,706.83/x
  3. Step 3: Cross multiply
    24,238.47x = 36,358.51 × 6,706.83
  4. Step 4: Simplify right side
    24,238.47x = 243,850,163.83
  5. Step 5: Solve for x
    x = 243,850,163.83/24,238.47
  6. Step 6: Final answer
    x = 10,060.46

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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.