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Finding the Fourth Proportional to 24,610, 33,961.84 and 13,432

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Solution

The fourth proportional to 24,610, 33,961.84 and 13,432 is: 18,536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,610 : 33,961.84 = 13,432 : x
  2. Step 2: Convert to fraction form
    24,610/33,961.84 = 13,432/x
  3. Step 3: Cross multiply
    24,610x = 33,961.84 × 13,432
  4. Step 4: Simplify right side
    24,610x = 456,175,434.88
  5. Step 5: Solve for x
    x = 456,175,434.88/24,610
  6. Step 6: Final answer
    x = 18,536.18

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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.