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Finding the Fourth Proportional to 10,020.51, 13,832.90 and 7,151.43

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Solution

The fourth proportional to 10,020.51, 13,832.90 and 7,151.43 is: 9,872.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.51 : 13,832.90 = 7,151.43 : x
  2. Step 2: Convert to fraction form
    10,020.51/13,832.90 = 7,151.43/x
  3. Step 3: Cross multiply
    10,020.51x = 13,832.90 × 7,151.43
  4. Step 4: Simplify right side
    10,020.51x = 98,924,911.13
  5. Step 5: Solve for x
    x = 98,924,911.13/10,020.51
  6. Step 6: Final answer
    x = 9,872.24

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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.