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Finding the Fourth Proportional to 22,186.54, 30,632.07 and 14,232.34

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Solution

The fourth proportional to 22,186.54, 30,632.07 and 14,232.34 is: 19,650.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,186.54 : 30,632.07 = 14,232.34 : x
  2. Step 2: Convert to fraction form
    22,186.54/30,632.07 = 14,232.34/x
  3. Step 3: Cross multiply
    22,186.54x = 30,632.07 × 14,232.34
  4. Step 4: Simplify right side
    22,186.54x = 435,966,035.14
  5. Step 5: Solve for x
    x = 435,966,035.14/22,186.54
  6. Step 6: Final answer
    x = 19,650.02

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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.