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Finding the Fourth Proportional to 17,684.90, 24,404.68 and 10,029.58

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Solution

The fourth proportional to 17,684.90, 24,404.68 and 10,029.58 is: 13,840.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.90 : 24,404.68 = 10,029.58 : x
  2. Step 2: Convert to fraction form
    17,684.90/24,404.68 = 10,029.58/x
  3. Step 3: Cross multiply
    17,684.90x = 24,404.68 × 10,029.58
  4. Step 4: Simplify right side
    17,684.90x = 244,768,641.96
  5. Step 5: Solve for x
    x = 244,768,641.96/17,684.90
  6. Step 6: Final answer
    x = 13,840.55

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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.