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Finding the Fourth Proportional to 23,688, 35,520.10 and 7,887.44

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Solution

The fourth proportional to 23,688, 35,520.10 and 7,887.44 is: 11,827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,688 : 35,520.10 = 7,887.44 : x
  2. Step 2: Convert to fraction form
    23,688/35,520.10 = 7,887.44/x
  3. Step 3: Cross multiply
    23,688x = 35,520.10 × 7,887.44
  4. Step 4: Simplify right side
    23,688x = 280,162,726.63
  5. Step 5: Solve for x
    x = 280,162,726.63/23,688
  6. Step 6: Final answer
    x = 11,827.20

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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.