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Finding the Fourth Proportional to 10,517.58, 15,690.24 and 10,231.58

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Solution

The fourth proportional to 10,517.58, 15,690.24 and 10,231.58 is: 15,263.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,517.58 : 15,690.24 = 10,231.58 : x
  2. Step 2: Convert to fraction form
    10,517.58/15,690.24 = 10,231.58/x
  3. Step 3: Cross multiply
    10,517.58x = 15,690.24 × 10,231.58
  4. Step 4: Simplify right side
    10,517.58x = 160,535,985.00
  5. Step 5: Solve for x
    x = 160,535,985.00/10,517.58
  6. Step 6: Final answer
    x = 15,263.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.