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Finding the Fourth Proportional to 22,607.82, 31,197.27 and 12,535.89

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Solution

The fourth proportional to 22,607.82, 31,197.27 and 12,535.89 is: 17,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,607.82 : 31,197.27 = 12,535.89 : x
  2. Step 2: Convert to fraction form
    22,607.82/31,197.27 = 12,535.89/x
  3. Step 3: Cross multiply
    22,607.82x = 31,197.27 × 12,535.89
  4. Step 4: Simplify right side
    22,607.82x = 391,085,326.35
  5. Step 5: Solve for x
    x = 391,085,326.35/22,607.82
  6. Step 6: Final answer
    x = 17,298.68

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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.