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Finding the Fourth Proportional to 24,838.56, 34,282.08 and 14,235.21

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Solution

The fourth proportional to 24,838.56, 34,282.08 and 14,235.21 is: 19,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,838.56 : 34,282.08 = 14,235.21 : x
  2. Step 2: Convert to fraction form
    24,838.56/34,282.08 = 14,235.21/x
  3. Step 3: Cross multiply
    24,838.56x = 34,282.08 × 14,235.21
  4. Step 4: Simplify right side
    24,838.56x = 488,012,608.04
  5. Step 5: Solve for x
    x = 488,012,608.04/24,838.56
  6. Step 6: Final answer
    x = 19,647.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.