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Finding the Fourth Proportional to 15,825.17, 23,753.25 and 7,510.83

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Solution

The fourth proportional to 15,825.17, 23,753.25 and 7,510.83 is: 11,273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.17 : 23,753.25 = 7,510.83 : x
  2. Step 2: Convert to fraction form
    15,825.17/23,753.25 = 7,510.83/x
  3. Step 3: Cross multiply
    15,825.17x = 23,753.25 × 7,510.83
  4. Step 4: Simplify right side
    15,825.17x = 178,406,533.62
  5. Step 5: Solve for x
    x = 178,406,533.62/15,825.17
  6. Step 6: Final answer
    x = 11,273.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.