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Finding the Fourth Proportional to 22,754.57, 31,400.78 and 13,196.16

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Solution

The fourth proportional to 22,754.57, 31,400.78 and 13,196.16 is: 18,210.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,754.57 : 31,400.78 = 13,196.16 : x
  2. Step 2: Convert to fraction form
    22,754.57/31,400.78 = 13,196.16/x
  3. Step 3: Cross multiply
    22,754.57x = 31,400.78 × 13,196.16
  4. Step 4: Simplify right side
    22,754.57x = 414,369,651.02
  5. Step 5: Solve for x
    x = 414,369,651.02/22,754.57
  6. Step 6: Final answer
    x = 18,210.40

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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.