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Finding the Fourth Proportional to 10,603.23, 15,827.31 and 9,832.26

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Solution

The fourth proportional to 10,603.23, 15,827.31 and 9,832.26 is: 14,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.23 : 15,827.31 = 9,832.26 : x
  2. Step 2: Convert to fraction form
    10,603.23/15,827.31 = 9,832.26/x
  3. Step 3: Cross multiply
    10,603.23x = 15,827.31 × 9,832.26
  4. Step 4: Simplify right side
    10,603.23x = 155,618,227.02
  5. Step 5: Solve for x
    x = 155,618,227.02/10,603.23
  6. Step 6: Final answer
    x = 14,676.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.