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Finding the Fourth Proportional to 23,663.40, 32,659.38 and 14,237.16

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Solution

The fourth proportional to 23,663.40, 32,659.38 and 14,237.16 is: 19,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,663.40 : 32,659.38 = 14,237.16 : x
  2. Step 2: Convert to fraction form
    23,663.40/32,659.38 = 14,237.16/x
  3. Step 3: Cross multiply
    23,663.40x = 32,659.38 × 14,237.16
  4. Step 4: Simplify right side
    23,663.40x = 464,976,818.56
  5. Step 5: Solve for x
    x = 464,976,818.56/23,663.40
  6. Step 6: Final answer
    x = 19,649.62

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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.