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Finding the Fourth Proportional to 17,977.62, 24,809.34 and 10,322.10

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Solution

The fourth proportional to 17,977.62, 24,809.34 and 10,322.10 is: 14,244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977.62 : 24,809.34 = 10,322.10 : x
  2. Step 2: Convert to fraction form
    17,977.62/24,809.34 = 10,322.10/x
  3. Step 3: Cross multiply
    17,977.62x = 24,809.34 × 10,322.10
  4. Step 4: Simplify right side
    17,977.62x = 256,084,488.41
  5. Step 5: Solve for x
    x = 256,084,488.41/17,977.62
  6. Step 6: Final answer
    x = 14,244.63

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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.