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Finding the Fourth Proportional to 12,280.30, 16,950.54 and 7,244.13

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Solution

The fourth proportional to 12,280.30, 16,950.54 and 7,244.13 is: 9,999.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,280.30 : 16,950.54 = 7,244.13 : x
  2. Step 2: Convert to fraction form
    12,280.30/16,950.54 = 7,244.13/x
  3. Step 3: Cross multiply
    12,280.30x = 16,950.54 × 7,244.13
  4. Step 4: Simplify right side
    12,280.30x = 122,791,915.33
  5. Step 5: Solve for x
    x = 122,791,915.33/12,280.30
  6. Step 6: Final answer
    x = 9,999.10

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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.