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Finding the Fourth Proportional to 24,805.84, 34,218 and 14,724.16

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Solution

The fourth proportional to 24,805.84, 34,218 and 14,724.16 is: 20,311.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,805.84 : 34,218 = 14,724.16 : x
  2. Step 2: Convert to fraction form
    24,805.84/34,218 = 14,724.16/x
  3. Step 3: Cross multiply
    24,805.84x = 34,218 × 14,724.16
  4. Step 4: Simplify right side
    24,805.84x = 503,831,306.88
  5. Step 5: Solve for x
    x = 503,831,306.88/24,805.84
  6. Step 6: Final answer
    x = 20,311.00

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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.