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Finding the Fourth Proportional to 24,186.39, 36,289.98 and 13,101

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Solution

The fourth proportional to 24,186.39, 36,289.98 and 13,101 is: 19,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,186.39 : 36,289.98 = 13,101 : x
  2. Step 2: Convert to fraction form
    24,186.39/36,289.98 = 13,101/x
  3. Step 3: Cross multiply
    24,186.39x = 36,289.98 × 13,101
  4. Step 4: Simplify right side
    24,186.39x = 475,435,027.98
  5. Step 5: Solve for x
    x = 475,435,027.98/24,186.39
  6. Step 6: Final answer
    x = 19,657.13

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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.