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Finding the Fourth Proportional to 15,838.47, 23,760.81 and 4,744.31

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Solution

The fourth proportional to 15,838.47, 23,760.81 and 4,744.31 is: 7,117.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.47 : 23,760.81 = 4,744.31 : x
  2. Step 2: Convert to fraction form
    15,838.47/23,760.81 = 4,744.31/x
  3. Step 3: Cross multiply
    15,838.47x = 23,760.81 × 4,744.31
  4. Step 4: Simplify right side
    15,838.47x = 112,728,529.69
  5. Step 5: Solve for x
    x = 112,728,529.69/15,838.47
  6. Step 6: Final answer
    x = 7,117.39

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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.