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Finding the Fourth Proportional to 22,601.61, 31,192.06 and 12,533.21

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Solution

The fourth proportional to 22,601.61, 31,192.06 and 12,533.21 is: 17,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,601.61 : 31,192.06 = 12,533.21 : x
  2. Step 2: Convert to fraction form
    22,601.61/31,192.06 = 12,533.21/x
  3. Step 3: Cross multiply
    22,601.61x = 31,192.06 × 12,533.21
  4. Step 4: Simplify right side
    22,601.61x = 390,936,451.02
  5. Step 5: Solve for x
    x = 390,936,451.02/22,601.61
  6. Step 6: Final answer
    x = 17,296.84

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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.