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Finding the Fourth Proportional to 25,572.82, 38,358.93 and 6,852.28

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Solution

The fourth proportional to 25,572.82, 38,358.93 and 6,852.28 is: 10,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,572.82 : 38,358.93 = 6,852.28 : x
  2. Step 2: Convert to fraction form
    25,572.82/38,358.93 = 6,852.28/x
  3. Step 3: Cross multiply
    25,572.82x = 38,358.93 × 6,852.28
  4. Step 4: Simplify right side
    25,572.82x = 262,846,128.86
  5. Step 5: Solve for x
    x = 262,846,128.86/25,572.82
  6. Step 6: Final answer
    x = 10,278.34

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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.