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Finding the Fourth Proportional to 23,362, 32,239.74 and 12,751

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Solution

The fourth proportional to 23,362, 32,239.74 and 12,751 is: 17,596.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,362 : 32,239.74 = 12,751 : x
  2. Step 2: Convert to fraction form
    23,362/32,239.74 = 12,751/x
  3. Step 3: Cross multiply
    23,362x = 32,239.74 × 12,751
  4. Step 4: Simplify right side
    23,362x = 411,088,924.74
  5. Step 5: Solve for x
    x = 411,088,924.74/23,362
  6. Step 6: Final answer
    x = 17,596.48

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Why These Related Problems?

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