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Finding the Fourth Proportional to 20,026.88, 30,041.28 and 6,176

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Solution

The fourth proportional to 20,026.88, 30,041.28 and 6,176 is: 9,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,026.88 : 30,041.28 = 6,176 : x
  2. Step 2: Convert to fraction form
    20,026.88/30,041.28 = 6,176/x
  3. Step 3: Cross multiply
    20,026.88x = 30,041.28 × 6,176
  4. Step 4: Simplify right side
    20,026.88x = 185,534,945.28
  5. Step 5: Solve for x
    x = 185,534,945.28/20,026.88
  6. Step 6: Final answer
    x = 9,264.30

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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.