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Finding the Fourth Proportional to 17,966.92, 24,795.66 and 10,415.20

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Solution

The fourth proportional to 17,966.92, 24,795.66 and 10,415.20 is: 14,373.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,966.92 : 24,795.66 = 10,415.20 : x
  2. Step 2: Convert to fraction form
    17,966.92/24,795.66 = 10,415.20/x
  3. Step 3: Cross multiply
    17,966.92x = 24,795.66 × 10,415.20
  4. Step 4: Simplify right side
    17,966.92x = 258,251,758.03
  5. Step 5: Solve for x
    x = 258,251,758.03/17,966.92
  6. Step 6: Final answer
    x = 14,373.74

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