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Finding the Fourth Proportional to 24,642.63, 36,978.53 and 12,956.76

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Solution

The fourth proportional to 24,642.63, 36,978.53 and 12,956.76 is: 19,442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642.63 : 36,978.53 = 12,956.76 : x
  2. Step 2: Convert to fraction form
    24,642.63/36,978.53 = 12,956.76/x
  3. Step 3: Cross multiply
    24,642.63x = 36,978.53 × 12,956.76
  4. Step 4: Simplify right side
    24,642.63x = 479,121,873.58
  5. Step 5: Solve for x
    x = 479,121,873.58/24,642.63
  6. Step 6: Final answer
    x = 19,442.81

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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.