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Finding the Fourth Proportional to 25,417.69, 38,126.54 and 6,949.69

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Solution

The fourth proportional to 25,417.69, 38,126.54 and 6,949.69 is: 10,424.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,417.69 : 38,126.54 = 6,949.69 : x
  2. Step 2: Convert to fraction form
    25,417.69/38,126.54 = 6,949.69/x
  3. Step 3: Cross multiply
    25,417.69x = 38,126.54 × 6,949.69
  4. Step 4: Simplify right side
    25,417.69x = 264,967,555.83
  5. Step 5: Solve for x
    x = 264,967,555.83/25,417.69
  6. Step 6: Final answer
    x = 10,424.53

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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.