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Finding the Fourth Proportional to 17,870, 24,656.94 and 9,910.52

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Solution

The fourth proportional to 17,870, 24,656.94 and 9,910.52 is: 13,674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,870 : 24,656.94 = 9,910.52 : x
  2. Step 2: Convert to fraction form
    17,870/24,656.94 = 9,910.52/x
  3. Step 3: Cross multiply
    17,870x = 24,656.94 × 9,910.52
  4. Step 4: Simplify right side
    17,870x = 244,363,097.01
  5. Step 5: Solve for x
    x = 244,363,097.01/17,870
  6. Step 6: Final answer
    x = 13,674.49

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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.