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Finding the Fourth Proportional to 12,147.02, 16,763.60 and 7,432.20

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Solution

The fourth proportional to 12,147.02, 16,763.60 and 7,432.20 is: 10,256.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.02 : 16,763.60 = 7,432.20 : x
  2. Step 2: Convert to fraction form
    12,147.02/16,763.60 = 7,432.20/x
  3. Step 3: Cross multiply
    12,147.02x = 16,763.60 × 7,432.20
  4. Step 4: Simplify right side
    12,147.02x = 124,590,427.92
  5. Step 5: Solve for x
    x = 124,590,427.92/12,147.02
  6. Step 6: Final answer
    x = 10,256.87

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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.