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Finding the Fourth Proportional to 23,218.10, 34,803.32 and 9,172.44

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Solution

The fourth proportional to 23,218.10, 34,803.32 and 9,172.44 is: 13,749.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,218.10 : 34,803.32 = 9,172.44 : x
  2. Step 2: Convert to fraction form
    23,218.10/34,803.32 = 9,172.44/x
  3. Step 3: Cross multiply
    23,218.10x = 34,803.32 × 9,172.44
  4. Step 4: Simplify right side
    23,218.10x = 319,231,364.50
  5. Step 5: Solve for x
    x = 319,231,364.50/23,218.10
  6. Step 6: Final answer
    x = 13,749.25

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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.