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Finding the Fourth Proportional to 22,840.26, 31,521.03 and 12,768.74

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Solution

The fourth proportional to 22,840.26, 31,521.03 and 12,768.74 is: 17,621.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,840.26 : 31,521.03 = 12,768.74 : x
  2. Step 2: Convert to fraction form
    22,840.26/31,521.03 = 12,768.74/x
  3. Step 3: Cross multiply
    22,840.26x = 31,521.03 × 12,768.74
  4. Step 4: Simplify right side
    22,840.26x = 402,483,836.60
  5. Step 5: Solve for x
    x = 402,483,836.60/22,840.26
  6. Step 6: Final answer
    x = 17,621.68

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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.