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Finding the Fourth Proportional to 16,312.80, 22,512.16 and 9,240.24

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Solution

The fourth proportional to 16,312.80, 22,512.16 and 9,240.24 is: 12,751.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.80 : 22,512.16 = 9,240.24 : x
  2. Step 2: Convert to fraction form
    16,312.80/22,512.16 = 9,240.24/x
  3. Step 3: Cross multiply
    16,312.80x = 22,512.16 × 9,240.24
  4. Step 4: Simplify right side
    16,312.80x = 208,017,761.32
  5. Step 5: Solve for x
    x = 208,017,761.32/16,312.80
  6. Step 6: Final answer
    x = 12,751.81

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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.