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Finding the Fourth Proportional to 23,342.16, 32,211.48 and 12,732

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Solution

The fourth proportional to 23,342.16, 32,211.48 and 12,732 is: 17,569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,342.16 : 32,211.48 = 12,732 : x
  2. Step 2: Convert to fraction form
    23,342.16/32,211.48 = 12,732/x
  3. Step 3: Cross multiply
    23,342.16x = 32,211.48 × 12,732
  4. Step 4: Simplify right side
    23,342.16x = 410,116,563.36
  5. Step 5: Solve for x
    x = 410,116,563.36/23,342.16
  6. Step 6: Final answer
    x = 17,569.78

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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.