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Finding the Fourth Proportional to 15,809.47, 23,728.56 and 8,420.20

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Solution

The fourth proportional to 15,809.47, 23,728.56 and 8,420.20 is: 12,637.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.47 : 23,728.56 = 8,420.20 : x
  2. Step 2: Convert to fraction form
    15,809.47/23,728.56 = 8,420.20/x
  3. Step 3: Cross multiply
    15,809.47x = 23,728.56 × 8,420.20
  4. Step 4: Simplify right side
    15,809.47x = 199,799,220.91
  5. Step 5: Solve for x
    x = 199,799,220.91/15,809.47
  6. Step 6: Final answer
    x = 12,637.95

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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.