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Finding the Fourth Proportional to 12,703.68, 19,049.01 and 5,306.13

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Solution

The fourth proportional to 12,703.68, 19,049.01 and 5,306.13 is: 7,956.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.68 : 19,049.01 = 5,306.13 : x
  2. Step 2: Convert to fraction form
    12,703.68/19,049.01 = 5,306.13/x
  3. Step 3: Cross multiply
    12,703.68x = 19,049.01 × 5,306.13
  4. Step 4: Simplify right side
    12,703.68x = 101,076,523.43
  5. Step 5: Solve for x
    x = 101,076,523.43/12,703.68
  6. Step 6: Final answer
    x = 7,956.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.