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Finding the Fourth Proportional to 21,209.04, 31,809.65 and 8,058.24

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Solution

The fourth proportional to 21,209.04, 31,809.65 and 8,058.24 is: 12,085.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,209.04 : 31,809.65 = 8,058.24 : x
  2. Step 2: Convert to fraction form
    21,209.04/31,809.65 = 8,058.24/x
  3. Step 3: Cross multiply
    21,209.04x = 31,809.65 × 8,058.24
  4. Step 4: Simplify right side
    21,209.04x = 256,329,753.72
  5. Step 5: Solve for x
    x = 256,329,753.72/21,209.04
  6. Step 6: Final answer
    x = 12,085.87

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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.