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Finding the Fourth Proportional to 27,663.93, 38,178 and 15,728.58

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Solution

The fourth proportional to 27,663.93, 38,178 and 15,728.58 is: 21,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,663.93 : 38,178 = 15,728.58 : x
  2. Step 2: Convert to fraction form
    27,663.93/38,178 = 15,728.58/x
  3. Step 3: Cross multiply
    27,663.93x = 38,178 × 15,728.58
  4. Step 4: Simplify right side
    27,663.93x = 600,485,727.24
  5. Step 5: Solve for x
    x = 600,485,727.24/27,663.93
  6. Step 6: Final answer
    x = 21,706.45

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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.