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Finding the Fourth Proportional to 23,664.62, 32,656.47 and 12,909.80

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Solution

The fourth proportional to 23,664.62, 32,656.47 and 12,909.80 is: 17,815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,664.62 : 32,656.47 = 12,909.80 : x
  2. Step 2: Convert to fraction form
    23,664.62/32,656.47 = 12,909.80/x
  3. Step 3: Cross multiply
    23,664.62x = 32,656.47 × 12,909.80
  4. Step 4: Simplify right side
    23,664.62x = 421,588,333.12
  5. Step 5: Solve for x
    x = 421,588,333.12/23,664.62
  6. Step 6: Final answer
    x = 17,815.14

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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.