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Finding the Fourth Proportional to 23,462.64, 32,376.96 and 14,031.36

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Solution

The fourth proportional to 23,462.64, 32,376.96 and 14,031.36 is: 19,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,462.64 : 32,376.96 = 14,031.36 : x
  2. Step 2: Convert to fraction form
    23,462.64/32,376.96 = 14,031.36/x
  3. Step 3: Cross multiply
    23,462.64x = 32,376.96 × 14,031.36
  4. Step 4: Simplify right side
    23,462.64x = 454,292,781.47
  5. Step 5: Solve for x
    x = 454,292,781.47/23,462.64
  6. Step 6: Final answer
    x = 19,362.39

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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.