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Finding the Fourth Proportional to 22,145.93, 30,557.63 and 12,714.29

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Solution

The fourth proportional to 22,145.93, 30,557.63 and 12,714.29 is: 17,543.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,145.93 : 30,557.63 = 12,714.29 : x
  2. Step 2: Convert to fraction form
    22,145.93/30,557.63 = 12,714.29/x
  3. Step 3: Cross multiply
    22,145.93x = 30,557.63 × 12,714.29
  4. Step 4: Simplify right side
    22,145.93x = 388,518,505.96
  5. Step 5: Solve for x
    x = 388,518,505.96/22,145.93
  6. Step 6: Final answer
    x = 17,543.56

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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.