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Finding the Fourth Proportional to 10,157.29, 13,987.99 and 9,524.42

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Solution

The fourth proportional to 10,157.29, 13,987.99 and 9,524.42 is: 13,116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,157.29 : 13,987.99 = 9,524.42 : x
  2. Step 2: Convert to fraction form
    10,157.29/13,987.99 = 9,524.42/x
  3. Step 3: Cross multiply
    10,157.29x = 13,987.99 × 9,524.42
  4. Step 4: Simplify right side
    10,157.29x = 133,227,444.09
  5. Step 5: Solve for x
    x = 133,227,444.09/10,157.29
  6. Step 6: Final answer
    x = 13,116.44

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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.