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Finding the Fourth Proportional to 12,220.75, 16,864.65 and 6,915.46

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Solution

The fourth proportional to 12,220.75, 16,864.65 and 6,915.46 is: 9,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,220.75 : 16,864.65 = 6,915.46 : x
  2. Step 2: Convert to fraction form
    12,220.75/16,864.65 = 6,915.46/x
  3. Step 3: Cross multiply
    12,220.75x = 16,864.65 × 6,915.46
  4. Step 4: Simplify right side
    12,220.75x = 116,626,812.49
  5. Step 5: Solve for x
    x = 116,626,812.49/12,220.75
  6. Step 6: Final answer
    x = 9,543.34

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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.