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Finding the Fourth Proportional to 12,834.86, 17,702.35 and 11,045.31

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Solution

The fourth proportional to 12,834.86, 17,702.35 and 11,045.31 is: 15,234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834.86 : 17,702.35 = 11,045.31 : x
  2. Step 2: Convert to fraction form
    12,834.86/17,702.35 = 11,045.31/x
  3. Step 3: Cross multiply
    12,834.86x = 17,702.35 × 11,045.31
  4. Step 4: Simplify right side
    12,834.86x = 195,527,949.06
  5. Step 5: Solve for x
    x = 195,527,949.06/12,834.86
  6. Step 6: Final answer
    x = 15,234.14

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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.