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Finding the Fourth Proportional to 17,977.97, 24,809.71 and 10,020.70

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Solution

The fourth proportional to 17,977.97, 24,809.71 and 10,020.70 is: 13,828.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977.97 : 24,809.71 = 10,020.70 : x
  2. Step 2: Convert to fraction form
    17,977.97/24,809.71 = 10,020.70/x
  3. Step 3: Cross multiply
    17,977.97x = 24,809.71 × 10,020.70
  4. Step 4: Simplify right side
    17,977.97x = 248,610,546.19
  5. Step 5: Solve for x
    x = 248,610,546.19/17,977.97
  6. Step 6: Final answer
    x = 13,828.62

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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.