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Finding the Fourth Proportional to 13,146.96, 19,703.16 and 5,351.52

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Solution

The fourth proportional to 13,146.96, 19,703.16 and 5,351.52 is: 8,020.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.96 : 19,703.16 = 5,351.52 : x
  2. Step 2: Convert to fraction form
    13,146.96/19,703.16 = 5,351.52/x
  3. Step 3: Cross multiply
    13,146.96x = 19,703.16 × 5,351.52
  4. Step 4: Simplify right side
    13,146.96x = 105,441,854.80
  5. Step 5: Solve for x
    x = 105,441,854.80/13,146.96
  6. Step 6: Final answer
    x = 8,020.25

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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.