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Finding the Fourth Proportional to 23,269.01, 32,111.30 and 12,658.64

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Solution

The fourth proportional to 23,269.01, 32,111.30 and 12,658.64 is: 17,468.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,269.01 : 32,111.30 = 12,658.64 : x
  2. Step 2: Convert to fraction form
    23,269.01/32,111.30 = 12,658.64/x
  3. Step 3: Cross multiply
    23,269.01x = 32,111.30 × 12,658.64
  4. Step 4: Simplify right side
    23,269.01x = 406,485,257.72
  5. Step 5: Solve for x
    x = 406,485,257.72/23,269.01
  6. Step 6: Final answer
    x = 17,468.96

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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.