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Finding the Fourth Proportional to 24,187.84, 36,280.77 and 6,657.19

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Solution

The fourth proportional to 24,187.84, 36,280.77 and 6,657.19 is: 9,985.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,187.84 : 36,280.77 = 6,657.19 : x
  2. Step 2: Convert to fraction form
    24,187.84/36,280.77 = 6,657.19/x
  3. Step 3: Cross multiply
    24,187.84x = 36,280.77 × 6,657.19
  4. Step 4: Simplify right side
    24,187.84x = 241,527,979.24
  5. Step 5: Solve for x
    x = 241,527,979.24/24,187.84
  6. Step 6: Final answer
    x = 9,985.51

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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.