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Finding the Fourth Proportional to 21,205.20, 31,808.88 and 8,058.72

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Solution

The fourth proportional to 21,205.20, 31,808.88 and 8,058.72 is: 12,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.20 : 31,808.88 = 8,058.72 : x
  2. Step 2: Convert to fraction form
    21,205.20/31,808.88 = 8,058.72/x
  3. Step 3: Cross multiply
    21,205.20x = 31,808.88 × 8,058.72
  4. Step 4: Simplify right side
    21,205.20x = 256,338,857.43
  5. Step 5: Solve for x
    x = 256,338,857.43/21,205.20
  6. Step 6: Final answer
    x = 12,088.49

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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.