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Finding the Fourth Proportional to 24,771.31, 34,176.06 and 14,153.42

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Solution

The fourth proportional to 24,771.31, 34,176.06 and 14,153.42 is: 19,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,771.31 : 34,176.06 = 14,153.42 : x
  2. Step 2: Convert to fraction form
    24,771.31/34,176.06 = 14,153.42/x
  3. Step 3: Cross multiply
    24,771.31x = 34,176.06 × 14,153.42
  4. Step 4: Simplify right side
    24,771.31x = 483,708,216.57
  5. Step 5: Solve for x
    x = 483,708,216.57/24,771.31
  6. Step 6: Final answer
    x = 19,526.96

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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.