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Finding the Fourth Proportional to 24,187.74, 36,283.77 and 9,400.38

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Solution

The fourth proportional to 24,187.74, 36,283.77 and 9,400.38 is: 14,101.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,187.74 : 36,283.77 = 9,400.38 : x
  2. Step 2: Convert to fraction form
    24,187.74/36,283.77 = 9,400.38/x
  3. Step 3: Cross multiply
    24,187.74x = 36,283.77 × 9,400.38
  4. Step 4: Simplify right side
    24,187.74x = 341,081,225.83
  5. Step 5: Solve for x
    x = 341,081,225.83/24,187.74
  6. Step 6: Final answer
    x = 14,101.41

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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.