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Finding the Fourth Proportional to 22,873.64, 31,561.09 and 12,800.13

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Solution

The fourth proportional to 22,873.64, 31,561.09 and 12,800.13 is: 17,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,873.64 : 31,561.09 = 12,800.13 : x
  2. Step 2: Convert to fraction form
    22,873.64/31,561.09 = 12,800.13/x
  3. Step 3: Cross multiply
    22,873.64x = 31,561.09 × 12,800.13
  4. Step 4: Simplify right side
    22,873.64x = 403,985,976.59
  5. Step 5: Solve for x
    x = 403,985,976.59/22,873.64
  6. Step 6: Final answer
    x = 17,661.64

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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.