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Finding the Fourth Proportional to 17,683.46, 24,394.97 and 10,597.58

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Solution

The fourth proportional to 17,683.46, 24,394.97 and 10,597.58 is: 14,619.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.46 : 24,394.97 = 10,597.58 : x
  2. Step 2: Convert to fraction form
    17,683.46/24,394.97 = 10,597.58/x
  3. Step 3: Cross multiply
    17,683.46x = 24,394.97 × 10,597.58
  4. Step 4: Simplify right side
    17,683.46x = 258,527,646.17
  5. Step 5: Solve for x
    x = 258,527,646.17/17,683.46
  6. Step 6: Final answer
    x = 14,619.74

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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.