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Finding the Fourth Proportional to 21,993.12, 30,352.68 and 12,563.10

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Solution

The fourth proportional to 21,993.12, 30,352.68 and 12,563.10 is: 17,338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,993.12 : 30,352.68 = 12,563.10 : x
  2. Step 2: Convert to fraction form
    21,993.12/30,352.68 = 12,563.10/x
  3. Step 3: Cross multiply
    21,993.12x = 30,352.68 × 12,563.10
  4. Step 4: Simplify right side
    21,993.12x = 381,323,754.11
  5. Step 5: Solve for x
    x = 381,323,754.11/21,993.12
  6. Step 6: Final answer
    x = 17,338.32

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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.