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Finding the Fourth Proportional to 22,302.50, 30,778.42 and 13,348.28

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Solution

The fourth proportional to 22,302.50, 30,778.42 and 13,348.28 is: 18,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302.50 : 30,778.42 = 13,348.28 : x
  2. Step 2: Convert to fraction form
    22,302.50/30,778.42 = 13,348.28/x
  3. Step 3: Cross multiply
    22,302.50x = 30,778.42 × 13,348.28
  4. Step 4: Simplify right side
    22,302.50x = 410,838,968.12
  5. Step 5: Solve for x
    x = 410,838,968.12/22,302.50
  6. Step 6: Final answer
    x = 18,421.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.