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Finding the Fourth Proportional to 27,706.40, 38,211.22 and 23,420.26

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Solution

The fourth proportional to 27,706.40, 38,211.22 and 23,420.26 is: 32,300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,706.40 : 38,211.22 = 23,420.26 : x
  2. Step 2: Convert to fraction form
    27,706.40/38,211.22 = 23,420.26/x
  3. Step 3: Cross multiply
    27,706.40x = 38,211.22 × 23,420.26
  4. Step 4: Simplify right side
    27,706.40x = 894,916,825.96
  5. Step 5: Solve for x
    x = 894,916,825.96/27,706.40
  6. Step 6: Final answer
    x = 32,300.00

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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.