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Finding the Fourth Proportional to 17,977.64, 24,809.27 and 10,020.38

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Solution

The fourth proportional to 17,977.64, 24,809.27 and 10,020.38 is: 13,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977.64 : 24,809.27 = 10,020.38 : x
  2. Step 2: Convert to fraction form
    17,977.64/24,809.27 = 10,020.38/x
  3. Step 3: Cross multiply
    17,977.64x = 24,809.27 × 10,020.38
  4. Step 4: Simplify right side
    17,977.64x = 248,598,312.92
  5. Step 5: Solve for x
    x = 248,598,312.92/17,977.64
  6. Step 6: Final answer
    x = 13,828.20

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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.