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Finding the Fourth Proportional to 15,827.50, 23,730.32 and 7,921.50

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Solution

The fourth proportional to 15,827.50, 23,730.32 and 7,921.50 is: 11,876.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,827.50 : 23,730.32 = 7,921.50 : x
  2. Step 2: Convert to fraction form
    15,827.50/23,730.32 = 7,921.50/x
  3. Step 3: Cross multiply
    15,827.50x = 23,730.32 × 7,921.50
  4. Step 4: Simplify right side
    15,827.50x = 187,979,616.14
  5. Step 5: Solve for x
    x = 187,979,616.14/15,827.50
  6. Step 6: Final answer
    x = 11,876.77

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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.