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Finding the Fourth Proportional to 21,795.38, 30,077.42 and 12,364.02

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Solution

The fourth proportional to 21,795.38, 30,077.42 and 12,364.02 is: 17,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,795.38 : 30,077.42 = 12,364.02 : x
  2. Step 2: Convert to fraction form
    21,795.38/30,077.42 = 12,364.02/x
  3. Step 3: Cross multiply
    21,795.38x = 30,077.42 × 12,364.02
  4. Step 4: Simplify right side
    21,795.38x = 371,877,822.43
  5. Step 5: Solve for x
    x = 371,877,822.43/21,795.38
  6. Step 6: Final answer
    x = 17,062.23

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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.