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Finding the Fourth Proportional to 24,561.86, 36,847.25 and 14,043.74

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Solution

The fourth proportional to 24,561.86, 36,847.25 and 14,043.74 is: 21,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,561.86 : 36,847.25 = 14,043.74 : x
  2. Step 2: Convert to fraction form
    24,561.86/36,847.25 = 14,043.74/x
  3. Step 3: Cross multiply
    24,561.86x = 36,847.25 × 14,043.74
  4. Step 4: Simplify right side
    24,561.86x = 517,473,128.50
  5. Step 5: Solve for x
    x = 517,473,128.50/24,561.86
  6. Step 6: Final answer
    x = 21,068.16

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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.