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Finding the Fourth Proportional to 17,438.59, 24,063.71 and 9,677.60

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Solution

The fourth proportional to 17,438.59, 24,063.71 and 9,677.60 is: 13,354.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,438.59 : 24,063.71 = 9,677.60 : x
  2. Step 2: Convert to fraction form
    17,438.59/24,063.71 = 9,677.60/x
  3. Step 3: Cross multiply
    17,438.59x = 24,063.71 × 9,677.60
  4. Step 4: Simplify right side
    17,438.59x = 232,878,917.72
  5. Step 5: Solve for x
    x = 232,878,917.72/17,438.59
  6. Step 6: Final answer
    x = 13,354.23

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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.