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Finding the Fourth Proportional to 22,602.23, 31,192.92 and 12,533.83

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Solution

The fourth proportional to 22,602.23, 31,192.92 and 12,533.83 is: 17,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,602.23 : 31,192.92 = 12,533.83 : x
  2. Step 2: Convert to fraction form
    22,602.23/31,192.92 = 12,533.83/x
  3. Step 3: Cross multiply
    22,602.23x = 31,192.92 × 12,533.83
  4. Step 4: Simplify right side
    22,602.23x = 390,966,756.48
  5. Step 5: Solve for x
    x = 390,966,756.48/22,602.23
  6. Step 6: Final answer
    x = 17,297.71

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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.