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Finding the Fourth Proportional to 22,714.80, 31,350.95 and 13,156.26

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Solution

The fourth proportional to 22,714.80, 31,350.95 and 13,156.26 is: 18,158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,714.80 : 31,350.95 = 13,156.26 : x
  2. Step 2: Convert to fraction form
    22,714.80/31,350.95 = 13,156.26/x
  3. Step 3: Cross multiply
    22,714.80x = 31,350.95 × 13,156.26
  4. Step 4: Simplify right side
    22,714.80x = 412,461,183.67
  5. Step 5: Solve for x
    x = 412,461,183.67/22,714.80
  6. Step 6: Final answer
    x = 18,158.26

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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.