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Finding the Fourth Proportional to 24,476.84, 33,794.04 and 15,415.40

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Solution

The fourth proportional to 24,476.84, 33,794.04 and 15,415.40 is: 21,283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,476.84 : 33,794.04 = 15,415.40 : x
  2. Step 2: Convert to fraction form
    24,476.84/33,794.04 = 15,415.40/x
  3. Step 3: Cross multiply
    24,476.84x = 33,794.04 × 15,415.40
  4. Step 4: Simplify right side
    24,476.84x = 520,948,644.22
  5. Step 5: Solve for x
    x = 520,948,644.22/24,476.84
  6. Step 6: Final answer
    x = 21,283.33

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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.