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Finding the Fourth Proportional to 24,953, 34,435.17 and 13,775

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Solution

The fourth proportional to 24,953, 34,435.17 and 13,775 is: 19,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,953 : 34,435.17 = 13,775 : x
  2. Step 2: Convert to fraction form
    24,953/34,435.17 = 13,775/x
  3. Step 3: Cross multiply
    24,953x = 34,435.17 × 13,775
  4. Step 4: Simplify right side
    24,953x = 474,344,466.75
  5. Step 5: Solve for x
    x = 474,344,466.75/24,953
  6. Step 6: Final answer
    x = 19,009.52

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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.