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Finding the Fourth Proportional to 24,564.40, 36,815.74 and 10,507.88

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Solution

The fourth proportional to 24,564.40, 36,815.74 and 10,507.88 is: 15,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564.40 : 36,815.74 = 10,507.88 : x
  2. Step 2: Convert to fraction form
    24,564.40/36,815.74 = 10,507.88/x
  3. Step 3: Cross multiply
    24,564.40x = 36,815.74 × 10,507.88
  4. Step 4: Simplify right side
    24,564.40x = 386,855,443.80
  5. Step 5: Solve for x
    x = 386,855,443.80/24,564.40
  6. Step 6: Final answer
    x = 15,748.62

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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.