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Finding the Fourth Proportional to 24,382.17, 36,549.50 and 12,536.19

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Solution

The fourth proportional to 24,382.17, 36,549.50 and 12,536.19 is: 18,792.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.17 : 36,549.50 = 12,536.19 : x
  2. Step 2: Convert to fraction form
    24,382.17/36,549.50 = 12,536.19/x
  3. Step 3: Cross multiply
    24,382.17x = 36,549.50 × 12,536.19
  4. Step 4: Simplify right side
    24,382.17x = 458,191,413.72
  5. Step 5: Solve for x
    x = 458,191,413.72/24,382.17
  6. Step 6: Final answer
    x = 18,792.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.