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Finding the Fourth Proportional to 21,179.71, 31,776.65 and 8,035.87

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Solution

The fourth proportional to 21,179.71, 31,776.65 and 8,035.87 is: 12,056.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,179.71 : 31,776.65 = 8,035.87 : x
  2. Step 2: Convert to fraction form
    21,179.71/31,776.65 = 8,035.87/x
  3. Step 3: Cross multiply
    21,179.71x = 31,776.65 × 8,035.87
  4. Step 4: Simplify right side
    21,179.71x = 255,352,988.26
  5. Step 5: Solve for x
    x = 255,352,988.26/21,179.71
  6. Step 6: Final answer
    x = 12,056.49

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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.