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Finding the Fourth Proportional to 17,666.40, 24,378.44 and 9,708.46

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Solution

The fourth proportional to 17,666.40, 24,378.44 and 9,708.46 is: 13,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.40 : 24,378.44 = 9,708.46 : x
  2. Step 2: Convert to fraction form
    17,666.40/24,378.44 = 9,708.46/x
  3. Step 3: Cross multiply
    17,666.40x = 24,378.44 × 9,708.46
  4. Step 4: Simplify right side
    17,666.40x = 236,677,109.60
  5. Step 5: Solve for x
    x = 236,677,109.60/17,666.40
  6. Step 6: Final answer
    x = 13,397.02

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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.