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Finding the Fourth Proportional to 12,117.85, 16,722.41 and 7,402.13

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Solution

The fourth proportional to 12,117.85, 16,722.41 and 7,402.13 is: 10,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.85 : 16,722.41 = 7,402.13 : x
  2. Step 2: Convert to fraction form
    12,117.85/16,722.41 = 7,402.13/x
  3. Step 3: Cross multiply
    12,117.85x = 16,722.41 × 7,402.13
  4. Step 4: Simplify right side
    12,117.85x = 123,781,369.12
  5. Step 5: Solve for x
    x = 123,781,369.12/12,117.85
  6. Step 6: Final answer
    x = 10,214.80

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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.