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Finding the Fourth Proportional to 23,662.40, 32,654.04 and 13,053.20

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Solution

The fourth proportional to 23,662.40, 32,654.04 and 13,053.20 is: 18,013.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662.40 : 32,654.04 = 13,053.20 : x
  2. Step 2: Convert to fraction form
    23,662.40/32,654.04 = 13,053.20/x
  3. Step 3: Cross multiply
    23,662.40x = 32,654.04 × 13,053.20
  4. Step 4: Simplify right side
    23,662.40x = 426,239,714.93
  5. Step 5: Solve for x
    x = 426,239,714.93/23,662.40
  6. Step 6: Final answer
    x = 18,013.38

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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.