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Finding the Fourth Proportional to 22,833.54, 31,518.54 and 14,778.18

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Solution

The fourth proportional to 22,833.54, 31,518.54 and 14,778.18 is: 20,399.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,833.54 : 31,518.54 = 14,778.18 : x
  2. Step 2: Convert to fraction form
    22,833.54/31,518.54 = 14,778.18/x
  3. Step 3: Cross multiply
    22,833.54x = 31,518.54 × 14,778.18
  4. Step 4: Simplify right side
    22,833.54x = 465,786,657.46
  5. Step 5: Solve for x
    x = 465,786,657.46/22,833.54
  6. Step 6: Final answer
    x = 20,399.23

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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.