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Finding the Fourth Proportional to 20,038.76, 30,058.54 and 6,187.76

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Solution

The fourth proportional to 20,038.76, 30,058.54 and 6,187.76 is: 9,281.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,038.76 : 30,058.54 = 6,187.76 : x
  2. Step 2: Convert to fraction form
    20,038.76/30,058.54 = 6,187.76/x
  3. Step 3: Cross multiply
    20,038.76x = 30,058.54 × 6,187.76
  4. Step 4: Simplify right side
    20,038.76x = 185,995,031.47
  5. Step 5: Solve for x
    x = 185,995,031.47/20,038.76
  6. Step 6: Final answer
    x = 9,281.76

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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.