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Finding the Fourth Proportional to 21,251.40, 31,878.25 and 6,459.21

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Solution

The fourth proportional to 21,251.40, 31,878.25 and 6,459.21 is: 9,689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,251.40 : 31,878.25 = 6,459.21 : x
  2. Step 2: Convert to fraction form
    21,251.40/31,878.25 = 6,459.21/x
  3. Step 3: Cross multiply
    21,251.40x = 31,878.25 × 6,459.21
  4. Step 4: Simplify right side
    21,251.40x = 205,908,119.50
  5. Step 5: Solve for x
    x = 205,908,119.50/21,251.40
  6. Step 6: Final answer
    x = 9,689.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.