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Finding the Fourth Proportional to 12,802.32, 19,180.80 and 5,862.24

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Solution

The fourth proportional to 12,802.32, 19,180.80 and 5,862.24 is: 8,782.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.32 : 19,180.80 = 5,862.24 : x
  2. Step 2: Convert to fraction form
    12,802.32/19,180.80 = 5,862.24/x
  3. Step 3: Cross multiply
    12,802.32x = 19,180.80 × 5,862.24
  4. Step 4: Simplify right side
    12,802.32x = 112,442,452.99
  5. Step 5: Solve for x
    x = 112,442,452.99/12,802.32
  6. Step 6: Final answer
    x = 8,782.97

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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.