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Finding the Fourth Proportional to 21,065.25, 31,607.10 and 9,979.86

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Solution

The fourth proportional to 21,065.25, 31,607.10 and 9,979.86 is: 14,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,065.25 : 31,607.10 = 9,979.86 : x
  2. Step 2: Convert to fraction form
    21,065.25/31,607.10 = 9,979.86/x
  3. Step 3: Cross multiply
    21,065.25x = 31,607.10 × 9,979.86
  4. Step 4: Simplify right side
    21,065.25x = 315,434,433.01
  5. Step 5: Solve for x
    x = 315,434,433.01/21,065.25
  6. Step 6: Final answer
    x = 14,974.16

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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.