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Finding the Fourth Proportional to 24,405, 33,686.82 and 14,333.20

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Solution

The fourth proportional to 24,405, 33,686.82 and 14,333.20 is: 19,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,405 : 33,686.82 = 14,333.20 : x
  2. Step 2: Convert to fraction form
    24,405/33,686.82 = 14,333.20/x
  3. Step 3: Cross multiply
    24,405x = 33,686.82 × 14,333.20
  4. Step 4: Simplify right side
    24,405x = 482,839,928.42
  5. Step 5: Solve for x
    x = 482,839,928.42/24,405
  6. Step 6: Final answer
    x = 19,784.47

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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.