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Finding the Fourth Proportional to 12,486.30, 17,223.51 and 7,447.15

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Solution

The fourth proportional to 12,486.30, 17,223.51 and 7,447.15 is: 10,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.30 : 17,223.51 = 7,447.15 : x
  2. Step 2: Convert to fraction form
    12,486.30/17,223.51 = 7,447.15/x
  3. Step 3: Cross multiply
    12,486.30x = 17,223.51 × 7,447.15
  4. Step 4: Simplify right side
    12,486.30x = 128,266,062.50
  5. Step 5: Solve for x
    x = 128,266,062.50/12,486.30
  6. Step 6: Final answer
    x = 10,272.54

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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.