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Finding the Fourth Proportional to 12,145.80, 16,762.44 and 7,433.20

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Solution

The fourth proportional to 12,145.80, 16,762.44 and 7,433.20 is: 10,258.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.80 : 16,762.44 = 7,433.20 : x
  2. Step 2: Convert to fraction form
    12,145.80/16,762.44 = 7,433.20/x
  3. Step 3: Cross multiply
    12,145.80x = 16,762.44 × 7,433.20
  4. Step 4: Simplify right side
    12,145.80x = 124,598,569.01
  5. Step 5: Solve for x
    x = 124,598,569.01/12,145.80
  6. Step 6: Final answer
    x = 10,258.57

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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.