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Finding the Fourth Proportional to 24,494.76, 36,748.98 and 10,455.48

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Solution

The fourth proportional to 24,494.76, 36,748.98 and 10,455.48 is: 15,686.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.76 : 36,748.98 = 10,455.48 : x
  2. Step 2: Convert to fraction form
    24,494.76/36,748.98 = 10,455.48/x
  3. Step 3: Cross multiply
    24,494.76x = 36,748.98 × 10,455.48
  4. Step 4: Simplify right side
    24,494.76x = 384,228,225.41
  5. Step 5: Solve for x
    x = 384,228,225.41/24,494.76
  6. Step 6: Final answer
    x = 15,686.14

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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.