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Finding the Fourth Proportional to 29,140.86, 40,217.46 and 17,817

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Solution

The fourth proportional to 29,140.86, 40,217.46 and 17,817 is: 24,589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,140.86 : 40,217.46 = 17,817 : x
  2. Step 2: Convert to fraction form
    29,140.86/40,217.46 = 17,817/x
  3. Step 3: Cross multiply
    29,140.86x = 40,217.46 × 17,817
  4. Step 4: Simplify right side
    29,140.86x = 716,554,484.82
  5. Step 5: Solve for x
    x = 716,554,484.82/29,140.86
  6. Step 6: Final answer
    x = 24,589.34

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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.