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Finding the Fourth Proportional to 22,654.37, 31,262.16 and 12,583.45

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Solution

The fourth proportional to 22,654.37, 31,262.16 and 12,583.45 is: 17,364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,654.37 : 31,262.16 = 12,583.45 : x
  2. Step 2: Convert to fraction form
    22,654.37/31,262.16 = 12,583.45/x
  3. Step 3: Cross multiply
    22,654.37x = 31,262.16 × 12,583.45
  4. Step 4: Simplify right side
    22,654.37x = 393,385,851.58
  5. Step 5: Solve for x
    x = 393,385,851.58/22,654.37
  6. Step 6: Final answer
    x = 17,364.68

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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.