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Finding the Fourth Proportional to 22,846.91, 34,256.64 and 9,503.85

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Solution

The fourth proportional to 22,846.91, 34,256.64 and 9,503.85 is: 14,250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.91 : 34,256.64 = 9,503.85 : x
  2. Step 2: Convert to fraction form
    22,846.91/34,256.64 = 9,503.85/x
  3. Step 3: Cross multiply
    22,846.91x = 34,256.64 × 9,503.85
  4. Step 4: Simplify right side
    22,846.91x = 325,569,968.06
  5. Step 5: Solve for x
    x = 325,569,968.06/22,846.91
  6. Step 6: Final answer
    x = 14,250.07

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