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Finding the Fourth Proportional to 25,802.14, 35,612.82 and 15,195.19

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Solution

The fourth proportional to 25,802.14, 35,612.82 and 15,195.19 is: 20,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,802.14 : 35,612.82 = 15,195.19 : x
  2. Step 2: Convert to fraction form
    25,802.14/35,612.82 = 15,195.19/x
  3. Step 3: Cross multiply
    25,802.14x = 35,612.82 × 15,195.19
  4. Step 4: Simplify right side
    25,802.14x = 541,143,566.34
  5. Step 5: Solve for x
    x = 541,143,566.34/25,802.14
  6. Step 6: Final answer
    x = 20,972.82

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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.