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Finding the Fourth Proportional to 23,402, 32,294.74 and 13,331.38

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Solution

The fourth proportional to 23,402, 32,294.74 and 13,331.38 is: 18,397.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,402 : 32,294.74 = 13,331.38 : x
  2. Step 2: Convert to fraction form
    23,402/32,294.74 = 13,331.38/x
  3. Step 3: Cross multiply
    23,402x = 32,294.74 × 13,331.38
  4. Step 4: Simplify right side
    23,402x = 430,533,450.94
  5. Step 5: Solve for x
    x = 430,533,450.94/23,402
  6. Step 6: Final answer
    x = 18,397.29

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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.