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Finding the Fourth Proportional to 24,502.54, 36,719.76 and 12,792.40

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Solution

The fourth proportional to 24,502.54, 36,719.76 and 12,792.40 is: 19,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,502.54 : 36,719.76 = 12,792.40 : x
  2. Step 2: Convert to fraction form
    24,502.54/36,719.76 = 12,792.40/x
  3. Step 3: Cross multiply
    24,502.54x = 36,719.76 × 12,792.40
  4. Step 4: Simplify right side
    24,502.54x = 469,733,857.82
  5. Step 5: Solve for x
    x = 469,733,857.82/24,502.54
  6. Step 6: Final answer
    x = 19,170.82

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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.