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Finding the Fourth Proportional to 24,852, 34,295.84 and 13,521.49

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Solution

The fourth proportional to 24,852, 34,295.84 and 13,521.49 is: 18,659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,852 : 34,295.84 = 13,521.49 : x
  2. Step 2: Convert to fraction form
    24,852/34,295.84 = 13,521.49/x
  3. Step 3: Cross multiply
    24,852x = 34,295.84 × 13,521.49
  4. Step 4: Simplify right side
    24,852x = 463,730,857.60
  5. Step 5: Solve for x
    x = 463,730,857.60/24,852
  6. Step 6: Final answer
    x = 18,659.70

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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.