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Finding the Fourth Proportional to 20,031.51, 30,047.25 and 6,883.77

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Solution

The fourth proportional to 20,031.51, 30,047.25 and 6,883.77 is: 10,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,031.51 : 30,047.25 = 6,883.77 : x
  2. Step 2: Convert to fraction form
    20,031.51/30,047.25 = 6,883.77/x
  3. Step 3: Cross multiply
    20,031.51x = 30,047.25 × 6,883.77
  4. Step 4: Simplify right side
    20,031.51x = 206,838,358.13
  5. Step 5: Solve for x
    x = 206,838,358.13/20,031.51
  6. Step 6: Final answer
    x = 10,325.65

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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.