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Finding the Fourth Proportional to 23,267.65, 32,109.61 and 12,657.31

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Solution

The fourth proportional to 23,267.65, 32,109.61 and 12,657.31 is: 17,467.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,267.65 : 32,109.61 = 12,657.31 : x
  2. Step 2: Convert to fraction form
    23,267.65/32,109.61 = 12,657.31/x
  3. Step 3: Cross multiply
    23,267.65x = 32,109.61 × 12,657.31
  4. Step 4: Simplify right side
    23,267.65x = 406,421,287.75
  5. Step 5: Solve for x
    x = 406,421,287.75/23,267.65
  6. Step 6: Final answer
    x = 17,467.23

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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.