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Finding the Fourth Proportional to 17,686.96, 24,408.52 and 10,134

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Solution

The fourth proportional to 17,686.96, 24,408.52 and 10,134 is: 13,985.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,686.96 : 24,408.52 = 10,134 : x
  2. Step 2: Convert to fraction form
    17,686.96/24,408.52 = 10,134/x
  3. Step 3: Cross multiply
    17,686.96x = 24,408.52 × 10,134
  4. Step 4: Simplify right side
    17,686.96x = 247,355,941.68
  5. Step 5: Solve for x
    x = 247,355,941.68/17,686.96
  6. Step 6: Final answer
    x = 13,985.22

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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.