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Finding the Fourth Proportional to 13,032.91, 19,549.82 and 4,713.20

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Solution

The fourth proportional to 13,032.91, 19,549.82 and 4,713.20 is: 7,069.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032.91 : 19,549.82 = 4,713.20 : x
  2. Step 2: Convert to fraction form
    13,032.91/19,549.82 = 4,713.20/x
  3. Step 3: Cross multiply
    13,032.91x = 19,549.82 × 4,713.20
  4. Step 4: Simplify right side
    13,032.91x = 92,142,198.97
  5. Step 5: Solve for x
    x = 92,142,198.97/13,032.91
  6. Step 6: Final answer
    x = 7,069.96

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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.