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Finding the Fourth Proportional to 23,981.92, 33,095.08 and 13,911.14

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Solution

The fourth proportional to 23,981.92, 33,095.08 and 13,911.14 is: 19,197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,981.92 : 33,095.08 = 13,911.14 : x
  2. Step 2: Convert to fraction form
    23,981.92/33,095.08 = 13,911.14/x
  3. Step 3: Cross multiply
    23,981.92x = 33,095.08 × 13,911.14
  4. Step 4: Simplify right side
    23,981.92x = 460,390,391.32
  5. Step 5: Solve for x
    x = 460,390,391.32/23,981.92
  6. Step 6: Final answer
    x = 19,197.39

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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.