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Finding the Fourth Proportional to 24,808.97, 34,235.80 and 13,478.22

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Solution

The fourth proportional to 24,808.97, 34,235.80 and 13,478.22 is: 18,599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,808.97 : 34,235.80 = 13,478.22 : x
  2. Step 2: Convert to fraction form
    24,808.97/34,235.80 = 13,478.22/x
  3. Step 3: Cross multiply
    24,808.97x = 34,235.80 × 13,478.22
  4. Step 4: Simplify right side
    24,808.97x = 461,437,644.28
  5. Step 5: Solve for x
    x = 461,437,644.28/24,808.97
  6. Step 6: Final answer
    x = 18,599.63

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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.