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Finding the Fourth Proportional to 10,238.94, 15,357.20 and 6,024.72

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Solution

The fourth proportional to 10,238.94, 15,357.20 and 6,024.72 is: 9,036.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.94 : 15,357.20 = 6,024.72 : x
  2. Step 2: Convert to fraction form
    10,238.94/15,357.20 = 6,024.72/x
  3. Step 3: Cross multiply
    10,238.94x = 15,357.20 × 6,024.72
  4. Step 4: Simplify right side
    10,238.94x = 92,522,829.98
  5. Step 5: Solve for x
    x = 92,522,829.98/10,238.94
  6. Step 6: Final answer
    x = 9,036.37

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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.