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Finding the Fourth Proportional to 23,724, 32,742 and 13,788

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Solution

The fourth proportional to 23,724, 32,742 and 13,788 is: 19,029.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,724 : 32,742 = 13,788 : x
  2. Step 2: Convert to fraction form
    23,724/32,742 = 13,788/x
  3. Step 3: Cross multiply
    23,724x = 32,742 × 13,788
  4. Step 4: Simplify right side
    23,724x = 451,446,696
  5. Step 5: Solve for x
    x = 451,446,696/23,724
  6. Step 6: Final answer
    x = 19,029.11

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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.