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Finding the Fourth Proportional to 24,460.40, 36,685.82 and 7,815.96

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Solution

The fourth proportional to 24,460.40, 36,685.82 and 7,815.96 is: 11,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,460.40 : 36,685.82 = 7,815.96 : x
  2. Step 2: Convert to fraction form
    24,460.40/36,685.82 = 7,815.96/x
  3. Step 3: Cross multiply
    24,460.40x = 36,685.82 × 7,815.96
  4. Step 4: Simplify right side
    24,460.40x = 286,734,901.69
  5. Step 5: Solve for x
    x = 286,734,901.69/24,460.40
  6. Step 6: Final answer
    x = 11,722.41

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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.