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Finding the Fourth Proportional to 25,574.33, 38,358.77 and 6,856.25

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Solution

The fourth proportional to 25,574.33, 38,358.77 and 6,856.25 is: 10,283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574.33 : 38,358.77 = 6,856.25 : x
  2. Step 2: Convert to fraction form
    25,574.33/38,358.77 = 6,856.25/x
  3. Step 3: Cross multiply
    25,574.33x = 38,358.77 × 6,856.25
  4. Step 4: Simplify right side
    25,574.33x = 262,997,090.74
  5. Step 5: Solve for x
    x = 262,997,090.74/25,574.33
  6. Step 6: Final answer
    x = 10,283.63

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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.