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Finding the Fourth Proportional to 23,012.24, 34,520.64 and 9,158

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Solution

The fourth proportional to 23,012.24, 34,520.64 and 9,158 is: 13,737.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,012.24 : 34,520.64 = 9,158 : x
  2. Step 2: Convert to fraction form
    23,012.24/34,520.64 = 9,158/x
  3. Step 3: Cross multiply
    23,012.24x = 34,520.64 × 9,158
  4. Step 4: Simplify right side
    23,012.24x = 316,140,021.12
  5. Step 5: Solve for x
    x = 316,140,021.12/23,012.24
  6. Step 6: Final answer
    x = 13,737.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.