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Finding the Fourth Proportional to 15,833.66, 23,753.20 and 7,509.56

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Solution

The fourth proportional to 15,833.66, 23,753.20 and 7,509.56 is: 11,265.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.66 : 23,753.20 = 7,509.56 : x
  2. Step 2: Convert to fraction form
    15,833.66/23,753.20 = 7,509.56/x
  3. Step 3: Cross multiply
    15,833.66x = 23,753.20 × 7,509.56
  4. Step 4: Simplify right side
    15,833.66x = 178,376,080.59
  5. Step 5: Solve for x
    x = 178,376,080.59/15,833.66
  6. Step 6: Final answer
    x = 11,265.63

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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.