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Finding the Fourth Proportional to 24,760.44, 34,165.80 and 14,148

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Solution

The fourth proportional to 24,760.44, 34,165.80 and 14,148 is: 19,522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,760.44 : 34,165.80 = 14,148 : x
  2. Step 2: Convert to fraction form
    24,760.44/34,165.80 = 14,148/x
  3. Step 3: Cross multiply
    24,760.44x = 34,165.80 × 14,148
  4. Step 4: Simplify right side
    24,760.44x = 483,377,738.40
  5. Step 5: Solve for x
    x = 483,377,738.40/24,760.44
  6. Step 6: Final answer
    x = 19,522.18

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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.