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Finding the Fourth Proportional to 16,302.16, 22,496.80 and 9,228.52

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Solution

The fourth proportional to 16,302.16, 22,496.80 and 9,228.52 is: 12,735.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,302.16 : 22,496.80 = 9,228.52 : x
  2. Step 2: Convert to fraction form
    16,302.16/22,496.80 = 9,228.52/x
  3. Step 3: Cross multiply
    16,302.16x = 22,496.80 × 9,228.52
  4. Step 4: Simplify right side
    16,302.16x = 207,612,168.74
  5. Step 5: Solve for x
    x = 207,612,168.74/16,302.16
  6. Step 6: Final answer
    x = 12,735.26

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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.