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Finding the Fourth Proportional to 24,175.40, 33,361.88 and 13,565

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Solution

The fourth proportional to 24,175.40, 33,361.88 and 13,565 is: 18,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175.40 : 33,361.88 = 13,565 : x
  2. Step 2: Convert to fraction form
    24,175.40/33,361.88 = 13,565/x
  3. Step 3: Cross multiply
    24,175.40x = 33,361.88 × 13,565
  4. Step 4: Simplify right side
    24,175.40x = 452,553,902.20
  5. Step 5: Solve for x
    x = 452,553,902.20/24,175.40
  6. Step 6: Final answer
    x = 18,719.60

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1.5x scale

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.