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Finding the Fourth Proportional to 23,127.22, 31,915.02 and 13,055.38

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Solution

The fourth proportional to 23,127.22, 31,915.02 and 13,055.38 is: 18,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,127.22 : 31,915.02 = 13,055.38 : x
  2. Step 2: Convert to fraction form
    23,127.22/31,915.02 = 13,055.38/x
  3. Step 3: Cross multiply
    23,127.22x = 31,915.02 × 13,055.38
  4. Step 4: Simplify right side
    23,127.22x = 416,662,713.81
  5. Step 5: Solve for x
    x = 416,662,713.81/23,127.22
  6. Step 6: Final answer
    x = 18,016.12

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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.