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Finding the Fourth Proportional to 20,807.58, 31,206.72 and 6,013.20

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Solution

The fourth proportional to 20,807.58, 31,206.72 and 6,013.20 is: 9,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,807.58 : 31,206.72 = 6,013.20 : x
  2. Step 2: Convert to fraction form
    20,807.58/31,206.72 = 6,013.20/x
  3. Step 3: Cross multiply
    20,807.58x = 31,206.72 × 6,013.20
  4. Step 4: Simplify right side
    20,807.58x = 187,652,248.70
  5. Step 5: Solve for x
    x = 187,652,248.70/20,807.58
  6. Step 6: Final answer
    x = 9,018.46

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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.