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Finding the Fourth Proportional to 12,144.32, 16,760.84 and 7,430.16

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Solution

The fourth proportional to 12,144.32, 16,760.84 and 7,430.16 is: 10,254.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.32 : 16,760.84 = 7,430.16 : x
  2. Step 2: Convert to fraction form
    12,144.32/16,760.84 = 7,430.16/x
  3. Step 3: Cross multiply
    12,144.32x = 16,760.84 × 7,430.16
  4. Step 4: Simplify right side
    12,144.32x = 124,535,722.93
  5. Step 5: Solve for x
    x = 124,535,722.93/12,144.32
  6. Step 6: Final answer
    x = 10,254.65

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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.