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Finding the Fourth Proportional to 12,698.57, 19,049.63 and 5,301.34

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Solution

The fourth proportional to 12,698.57, 19,049.63 and 5,301.34 is: 7,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,698.57 : 19,049.63 = 5,301.34 : x
  2. Step 2: Convert to fraction form
    12,698.57/19,049.63 = 5,301.34/x
  3. Step 3: Cross multiply
    12,698.57x = 19,049.63 × 5,301.34
  4. Step 4: Simplify right side
    12,698.57x = 100,988,531.13
  5. Step 5: Solve for x
    x = 100,988,531.13/12,698.57
  6. Step 6: Final answer
    x = 7,952.75

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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.