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Finding the Fourth Proportional to 24,802.54, 34,228.11 and 14,195.59

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Solution

The fourth proportional to 24,802.54, 34,228.11 and 14,195.59 is: 19,590.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.54 : 34,228.11 = 14,195.59 : x
  2. Step 2: Convert to fraction form
    24,802.54/34,228.11 = 14,195.59/x
  3. Step 3: Cross multiply
    24,802.54x = 34,228.11 × 14,195.59
  4. Step 4: Simplify right side
    24,802.54x = 485,888,216.03
  5. Step 5: Solve for x
    x = 485,888,216.03/24,802.54
  6. Step 6: Final answer
    x = 19,590.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.