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Finding the Fourth Proportional to 25,262.50, 37,899.22 and 9,680.12

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Solution

The fourth proportional to 25,262.50, 37,899.22 and 9,680.12 is: 14,522.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,262.50 : 37,899.22 = 9,680.12 : x
  2. Step 2: Convert to fraction form
    25,262.50/37,899.22 = 9,680.12/x
  3. Step 3: Cross multiply
    25,262.50x = 37,899.22 × 9,680.12
  4. Step 4: Simplify right side
    25,262.50x = 366,868,997.51
  5. Step 5: Solve for x
    x = 366,868,997.51/25,262.50
  6. Step 6: Final answer
    x = 14,522.28

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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.