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Finding the Fourth Proportional to 27,665.76, 38,186.88 and 15,735.72

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Solution

The fourth proportional to 27,665.76, 38,186.88 and 15,735.72 is: 21,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,665.76 : 38,186.88 = 15,735.72 : x
  2. Step 2: Convert to fraction form
    27,665.76/38,186.88 = 15,735.72/x
  3. Step 3: Cross multiply
    27,665.76x = 38,186.88 × 15,735.72
  4. Step 4: Simplify right side
    27,665.76x = 600,898,051.35
  5. Step 5: Solve for x
    x = 600,898,051.35/27,665.76
  6. Step 6: Final answer
    x = 21,719.92

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