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Finding the Fourth Proportional to 23,599.09, 32,566.86 and 13,528.14

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Solution

The fourth proportional to 23,599.09, 32,566.86 and 13,528.14 is: 18,668.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,599.09 : 32,566.86 = 13,528.14 : x
  2. Step 2: Convert to fraction form
    23,599.09/32,566.86 = 13,528.14/x
  3. Step 3: Cross multiply
    23,599.09x = 32,566.86 × 13,528.14
  4. Step 4: Simplify right side
    23,599.09x = 440,569,041.44
  5. Step 5: Solve for x
    x = 440,569,041.44/23,599.09
  6. Step 6: Final answer
    x = 18,668.90

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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.