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Finding the Fourth Proportional to 23,763, 32,792.94 and 13,827

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Solution

The fourth proportional to 23,763, 32,792.94 and 13,827 is: 19,081.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,763 : 32,792.94 = 13,827 : x
  2. Step 2: Convert to fraction form
    23,763/32,792.94 = 13,827/x
  3. Step 3: Cross multiply
    23,763x = 32,792.94 × 13,827
  4. Step 4: Simplify right side
    23,763x = 453,427,981.38
  5. Step 5: Solve for x
    x = 453,427,981.38/23,763
  6. Step 6: Final answer
    x = 19,081.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.