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Finding the Fourth Proportional to 17,666.18, 24,378.44 and 9,708.69

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Solution

The fourth proportional to 17,666.18, 24,378.44 and 9,708.69 is: 13,397.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.18 : 24,378.44 = 9,708.69 : x
  2. Step 2: Convert to fraction form
    17,666.18/24,378.44 = 9,708.69/x
  3. Step 3: Cross multiply
    17,666.18x = 24,378.44 × 9,708.69
  4. Step 4: Simplify right side
    17,666.18x = 236,682,635.74
  5. Step 5: Solve for x
    x = 236,682,635.74/17,666.18
  6. Step 6: Final answer
    x = 13,397.50

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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.