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Finding the Fourth Proportional to 23,596.47, 32,548.77 and 14,523.30

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Solution

The fourth proportional to 23,596.47, 32,548.77 and 14,523.30 is: 20,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,596.47 : 32,548.77 = 14,523.30 : x
  2. Step 2: Convert to fraction form
    23,596.47/32,548.77 = 14,523.30/x
  3. Step 3: Cross multiply
    23,596.47x = 32,548.77 × 14,523.30
  4. Step 4: Simplify right side
    23,596.47x = 472,715,551.34
  5. Step 5: Solve for x
    x = 472,715,551.34/23,596.47
  6. Step 6: Final answer
    x = 20,033.32

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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.