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Finding the Fourth Proportional to 16,323.12, 22,518 and 10,024.56

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Solution

The fourth proportional to 16,323.12, 22,518 and 10,024.56 is: 13,829.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,323.12 : 22,518 = 10,024.56 : x
  2. Step 2: Convert to fraction form
    16,323.12/22,518 = 10,024.56/x
  3. Step 3: Cross multiply
    16,323.12x = 22,518 × 10,024.56
  4. Step 4: Simplify right side
    16,323.12x = 225,733,042.08
  5. Step 5: Solve for x
    x = 225,733,042.08/16,323.12
  6. Step 6: Final answer
    x = 13,829.04

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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.