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Finding the Fourth Proportional to 24,501.78, 33,812.46 and 13,323.78

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Solution

The fourth proportional to 24,501.78, 33,812.46 and 13,323.78 is: 18,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,501.78 : 33,812.46 = 13,323.78 : x
  2. Step 2: Convert to fraction form
    24,501.78/33,812.46 = 13,323.78/x
  3. Step 3: Cross multiply
    24,501.78x = 33,812.46 × 13,323.78
  4. Step 4: Simplify right side
    24,501.78x = 450,509,778.30
  5. Step 5: Solve for x
    x = 450,509,778.30/24,501.78
  6. Step 6: Final answer
    x = 18,386.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.