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Finding the Fourth Proportional to 20,036.76, 30,060 and 6,185.76

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Solution

The fourth proportional to 20,036.76, 30,060 and 6,185.76 is: 9,280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,036.76 : 30,060 = 6,185.76 : x
  2. Step 2: Convert to fraction form
    20,036.76/30,060 = 6,185.76/x
  3. Step 3: Cross multiply
    20,036.76x = 30,060 × 6,185.76
  4. Step 4: Simplify right side
    20,036.76x = 185,943,945.60
  5. Step 5: Solve for x
    x = 185,943,945.60/20,036.76
  6. Step 6: Final answer
    x = 9,280.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.