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Finding the Fourth Proportional to 18,314.64, 27,488.16 and 10,002.24

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Solution

The fourth proportional to 18,314.64, 27,488.16 and 10,002.24 is: 15,012.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,314.64 : 27,488.16 = 10,002.24 : x
  2. Step 2: Convert to fraction form
    18,314.64/27,488.16 = 10,002.24/x
  3. Step 3: Cross multiply
    18,314.64x = 27,488.16 × 10,002.24
  4. Step 4: Simplify right side
    18,314.64x = 274,943,173.48
  5. Step 5: Solve for x
    x = 274,943,173.48/18,314.64
  6. Step 6: Final answer
    x = 15,012.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.