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Finding the Fourth Proportional to 24,876.84, 34,328.12 and 14,120.44

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Solution

The fourth proportional to 24,876.84, 34,328.12 and 14,120.44 is: 19,485.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,876.84 : 34,328.12 = 14,120.44 : x
  2. Step 2: Convert to fraction form
    24,876.84/34,328.12 = 14,120.44/x
  3. Step 3: Cross multiply
    24,876.84x = 34,328.12 × 14,120.44
  4. Step 4: Simplify right side
    24,876.84x = 484,728,158.77
  5. Step 5: Solve for x
    x = 484,728,158.77/24,876.84
  6. Step 6: Final answer
    x = 19,485.12

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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.