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Finding the Fourth Proportional to 23,596.99, 32,564.19 and 12,842.18

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Solution

The fourth proportional to 23,596.99, 32,564.19 and 12,842.18 is: 17,722.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,596.99 : 32,564.19 = 12,842.18 : x
  2. Step 2: Convert to fraction form
    23,596.99/32,564.19 = 12,842.18/x
  3. Step 3: Cross multiply
    23,596.99x = 32,564.19 × 12,842.18
  4. Step 4: Simplify right side
    23,596.99x = 418,195,196.99
  5. Step 5: Solve for x
    x = 418,195,196.99/23,596.99
  6. Step 6: Final answer
    x = 17,722.40

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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.