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Finding the Fourth Proportional to 20,775.32, 31,155.68 and 5,980.28

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Solution

The fourth proportional to 20,775.32, 31,155.68 and 5,980.28 is: 8,968.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775.32 : 31,155.68 = 5,980.28 : x
  2. Step 2: Convert to fraction form
    20,775.32/31,155.68 = 5,980.28/x
  3. Step 3: Cross multiply
    20,775.32x = 31,155.68 × 5,980.28
  4. Step 4: Simplify right side
    20,775.32x = 186,319,549.16
  5. Step 5: Solve for x
    x = 186,319,549.16/20,775.32
  6. Step 6: Final answer
    x = 8,968.31

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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.