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Finding the Fourth Proportional to 17,977.62, 24,809.24 and 10,020.35

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Solution

The fourth proportional to 17,977.62, 24,809.24 and 10,020.35 is: 13,828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977.62 : 24,809.24 = 10,020.35 : x
  2. Step 2: Convert to fraction form
    17,977.62/24,809.24 = 10,020.35/x
  3. Step 3: Cross multiply
    17,977.62x = 24,809.24 × 10,020.35
  4. Step 4: Simplify right side
    17,977.62x = 248,597,279.96
  5. Step 5: Solve for x
    x = 248,597,279.96/17,977.62
  6. Step 6: Final answer
    x = 13,828.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.