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Finding the Fourth Proportional to 25,696.44, 38,547 and 10,110.42

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Solution

The fourth proportional to 25,696.44, 38,547 and 10,110.42 is: 15,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,696.44 : 38,547 = 10,110.42 : x
  2. Step 2: Convert to fraction form
    25,696.44/38,547 = 10,110.42/x
  3. Step 3: Cross multiply
    25,696.44x = 38,547 × 10,110.42
  4. Step 4: Simplify right side
    25,696.44x = 389,726,359.74
  5. Step 5: Solve for x
    x = 389,726,359.74/25,696.44
  6. Step 6: Final answer
    x = 15,166.55

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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.