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Finding the Fourth Proportional to 23,596.99, 32,564.18 and 12,842.21

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Solution

The fourth proportional to 23,596.99, 32,564.18 and 12,842.21 is: 17,722.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,596.99 : 32,564.18 = 12,842.21 : x
  2. Step 2: Convert to fraction form
    23,596.99/32,564.18 = 12,842.21/x
  3. Step 3: Cross multiply
    23,596.99x = 32,564.18 × 12,842.21
  4. Step 4: Simplify right side
    23,596.99x = 418,196,079.32
  5. Step 5: Solve for x
    x = 418,196,079.32/23,596.99
  6. Step 6: Final answer
    x = 17,722.44

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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.