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Finding the Fourth Proportional to 27,707.54, 38,232 and 15,771.11

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Solution

The fourth proportional to 27,707.54, 38,232 and 15,771.11 is: 21,761.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,707.54 : 38,232 = 15,771.11 : x
  2. Step 2: Convert to fraction form
    27,707.54/38,232 = 15,771.11/x
  3. Step 3: Cross multiply
    27,707.54x = 38,232 × 15,771.11
  4. Step 4: Simplify right side
    27,707.54x = 602,960,886.36
  5. Step 5: Solve for x
    x = 602,960,886.36/27,707.54
  6. Step 6: Final answer
    x = 21,761.62

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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.