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Finding the Fourth Proportional to 20,382.64, 30,570.68 and 5,588.10

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Solution

The fourth proportional to 20,382.64, 30,570.68 and 5,588.10 is: 8,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,382.64 : 30,570.68 = 5,588.10 : x
  2. Step 2: Convert to fraction form
    20,382.64/30,570.68 = 5,588.10/x
  3. Step 3: Cross multiply
    20,382.64x = 30,570.68 × 5,588.10
  4. Step 4: Simplify right side
    20,382.64x = 170,832,030.88
  5. Step 5: Solve for x
    x = 170,832,030.88/20,382.64
  6. Step 6: Final answer
    x = 8,381.25

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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.