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Finding the Fourth Proportional to 22,738.22, 34,107.36 and 8,877.50

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Solution

The fourth proportional to 22,738.22, 34,107.36 and 8,877.50 is: 13,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,738.22 : 34,107.36 = 8,877.50 : x
  2. Step 2: Convert to fraction form
    22,738.22/34,107.36 = 8,877.50/x
  3. Step 3: Cross multiply
    22,738.22x = 34,107.36 × 8,877.50
  4. Step 4: Simplify right side
    22,738.22x = 302,788,088.40
  5. Step 5: Solve for x
    x = 302,788,088.40/22,738.22
  6. Step 6: Final answer
    x = 13,316.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.