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Finding the Fourth Proportional to 23,308.48, 32,165.68 and 12,698.11

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Solution

The fourth proportional to 23,308.48, 32,165.68 and 12,698.11 is: 17,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,308.48 : 32,165.68 = 12,698.11 : x
  2. Step 2: Convert to fraction form
    23,308.48/32,165.68 = 12,698.11/x
  3. Step 3: Cross multiply
    23,308.48x = 32,165.68 × 12,698.11
  4. Step 4: Simplify right side
    23,308.48x = 408,443,342.86
  5. Step 5: Solve for x
    x = 408,443,342.86/23,308.48
  6. Step 6: Final answer
    x = 17,523.38

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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.