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Finding the Fourth Proportional to 20,774.64, 31,162 and 9,088.76

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Solution

The fourth proportional to 20,774.64, 31,162 and 9,088.76 is: 13,633.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,774.64 : 31,162 = 9,088.76 : x
  2. Step 2: Convert to fraction form
    20,774.64/31,162 = 9,088.76/x
  3. Step 3: Cross multiply
    20,774.64x = 31,162 × 9,088.76
  4. Step 4: Simplify right side
    20,774.64x = 283,223,939.12
  5. Step 5: Solve for x
    x = 283,223,939.12/20,774.64
  6. Step 6: Final answer
    x = 13,633.16

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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.