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Finding the Fourth Proportional to 15,640.16, 23,466.87 and 10,377

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Solution

The fourth proportional to 15,640.16, 23,466.87 and 10,377 is: 15,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,640.16 : 23,466.87 = 10,377 : x
  2. Step 2: Convert to fraction form
    15,640.16/23,466.87 = 10,377/x
  3. Step 3: Cross multiply
    15,640.16x = 23,466.87 × 10,377
  4. Step 4: Simplify right side
    15,640.16x = 243,515,709.99
  5. Step 5: Solve for x
    x = 243,515,709.99/15,640.16
  6. Step 6: Final answer
    x = 15,569.90

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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.