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Finding the Fourth Proportional to 22,127.38, 30,534.64 and 12,055.16

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Solution

The fourth proportional to 22,127.38, 30,534.64 and 12,055.16 is: 16,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,127.38 : 30,534.64 = 12,055.16 : x
  2. Step 2: Convert to fraction form
    22,127.38/30,534.64 = 12,055.16/x
  3. Step 3: Cross multiply
    22,127.38x = 30,534.64 × 12,055.16
  4. Step 4: Simplify right side
    22,127.38x = 368,100,016.94
  5. Step 5: Solve for x
    x = 368,100,016.94/22,127.38
  6. Step 6: Final answer
    x = 16,635.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.