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Finding the Fourth Proportional to 21,046.18, 31,547.31 and 8,561.20

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Solution

The fourth proportional to 21,046.18, 31,547.31 and 8,561.20 is: 12,832.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,046.18 : 31,547.31 = 8,561.20 : x
  2. Step 2: Convert to fraction form
    21,046.18/31,547.31 = 8,561.20/x
  3. Step 3: Cross multiply
    21,046.18x = 31,547.31 × 8,561.20
  4. Step 4: Simplify right side
    21,046.18x = 270,082,830.37
  5. Step 5: Solve for x
    x = 270,082,830.37/21,046.18
  6. Step 6: Final answer
    x = 12,832.87

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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.