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Finding the Fourth Proportional to 24,195, 33,312.72 and 21,980.40

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Solution

The fourth proportional to 24,195, 33,312.72 and 21,980.40 is: 30,263.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,195 : 33,312.72 = 21,980.40 : x
  2. Step 2: Convert to fraction form
    24,195/33,312.72 = 21,980.40/x
  3. Step 3: Cross multiply
    24,195x = 33,312.72 × 21,980.40
  4. Step 4: Simplify right side
    24,195x = 732,226,910.69
  5. Step 5: Solve for x
    x = 732,226,910.69/24,195
  6. Step 6: Final answer
    x = 30,263.56

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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.