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Finding the Fourth Proportional to 13,182.70, 19,763.22 and 6,159.24

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Solution

The fourth proportional to 13,182.70, 19,763.22 and 6,159.24 is: 9,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.70 : 19,763.22 = 6,159.24 : x
  2. Step 2: Convert to fraction form
    13,182.70/19,763.22 = 6,159.24/x
  3. Step 3: Cross multiply
    13,182.70x = 19,763.22 × 6,159.24
  4. Step 4: Simplify right side
    13,182.70x = 121,726,386.28
  5. Step 5: Solve for x
    x = 121,726,386.28/13,182.70
  6. Step 6: Final answer
    x = 9,233.80

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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.