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Finding the Fourth Proportional to 24,401.81, 36,607.88 and 13,876.88

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Solution

The fourth proportional to 24,401.81, 36,607.88 and 13,876.88 is: 20,818.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,401.81 : 36,607.88 = 13,876.88 : x
  2. Step 2: Convert to fraction form
    24,401.81/36,607.88 = 13,876.88/x
  3. Step 3: Cross multiply
    24,401.81x = 36,607.88 × 13,876.88
  4. Step 4: Simplify right side
    24,401.81x = 508,003,009.47
  5. Step 5: Solve for x
    x = 508,003,009.47/24,401.81
  6. Step 6: Final answer
    x = 20,818.25

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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.