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Finding the Fourth Proportional to 24,727.76, 34,113.48 and 14,786

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Solution

The fourth proportional to 24,727.76, 34,113.48 and 14,786 is: 20,398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,727.76 : 34,113.48 = 14,786 : x
  2. Step 2: Convert to fraction form
    24,727.76/34,113.48 = 14,786/x
  3. Step 3: Cross multiply
    24,727.76x = 34,113.48 × 14,786
  4. Step 4: Simplify right side
    24,727.76x = 504,401,915.28
  5. Step 5: Solve for x
    x = 504,401,915.28/24,727.76
  6. Step 6: Final answer
    x = 20,398.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.