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Finding the Fourth Proportional to 25,228.14, 37,844.19 and 7,698.12

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Solution

The fourth proportional to 25,228.14, 37,844.19 and 7,698.12 is: 11,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,228.14 : 37,844.19 = 7,698.12 : x
  2. Step 2: Convert to fraction form
    25,228.14/37,844.19 = 7,698.12/x
  3. Step 3: Cross multiply
    25,228.14x = 37,844.19 × 7,698.12
  4. Step 4: Simplify right side
    25,228.14x = 291,329,115.92
  5. Step 5: Solve for x
    x = 291,329,115.92/25,228.14
  6. Step 6: Final answer
    x = 11,547.78

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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.