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Finding the Fourth Proportional to 22,518.36, 31,067.76 and 14,570.64

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Solution

The fourth proportional to 22,518.36, 31,067.76 and 14,570.64 is: 20,102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518.36 : 31,067.76 = 14,570.64 : x
  2. Step 2: Convert to fraction form
    22,518.36/31,067.76 = 14,570.64/x
  3. Step 3: Cross multiply
    22,518.36x = 31,067.76 × 14,570.64
  4. Step 4: Simplify right side
    22,518.36x = 452,677,146.57
  5. Step 5: Solve for x
    x = 452,677,146.57/22,518.36
  6. Step 6: Final answer
    x = 20,102.58

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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.