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Finding the Fourth Proportional to 22,442.16, 30,970.05 and 12,233.18

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Solution

The fourth proportional to 22,442.16, 30,970.05 and 12,233.18 is: 16,881.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,442.16 : 30,970.05 = 12,233.18 : x
  2. Step 2: Convert to fraction form
    22,442.16/30,970.05 = 12,233.18/x
  3. Step 3: Cross multiply
    22,442.16x = 30,970.05 × 12,233.18
  4. Step 4: Simplify right side
    22,442.16x = 378,862,041.41
  5. Step 5: Solve for x
    x = 378,862,041.41/22,442.16
  6. Step 6: Final answer
    x = 16,881.71

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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.