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Finding the Fourth Proportional to 23,308.69, 32,165.13 and 12,698.14

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Solution

The fourth proportional to 23,308.69, 32,165.13 and 12,698.14 is: 17,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,308.69 : 32,165.13 = 12,698.14 : x
  2. Step 2: Convert to fraction form
    23,308.69/32,165.13 = 12,698.14/x
  3. Step 3: Cross multiply
    23,308.69x = 32,165.13 × 12,698.14
  4. Step 4: Simplify right side
    23,308.69x = 408,437,323.86
  5. Step 5: Solve for x
    x = 408,437,323.86/23,308.69
  6. Step 6: Final answer
    x = 17,522.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.