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Finding the Fourth Proportional to 17,978.46, 24,811.13 and 10,020.74

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Solution

The fourth proportional to 17,978.46, 24,811.13 and 10,020.74 is: 13,829.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,978.46 : 24,811.13 = 10,020.74 : x
  2. Step 2: Convert to fraction form
    17,978.46/24,811.13 = 10,020.74/x
  3. Step 3: Cross multiply
    17,978.46x = 24,811.13 × 10,020.74
  4. Step 4: Simplify right side
    17,978.46x = 248,625,832.73
  5. Step 5: Solve for x
    x = 248,625,832.73/17,978.46
  6. Step 6: Final answer
    x = 13,829.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.