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Finding the Fourth Proportional to 24,972.94, 34,461.12 and 13,640.14

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Solution

The fourth proportional to 24,972.94, 34,461.12 and 13,640.14 is: 18,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,972.94 : 34,461.12 = 13,640.14 : x
  2. Step 2: Convert to fraction form
    24,972.94/34,461.12 = 13,640.14/x
  3. Step 3: Cross multiply
    24,972.94x = 34,461.12 × 13,640.14
  4. Step 4: Simplify right side
    24,972.94x = 470,054,501.36
  5. Step 5: Solve for x
    x = 470,054,501.36/24,972.94
  6. Step 6: Final answer
    x = 18,822.55

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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.