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Finding the Fourth Proportional to 27,911.34, 38,518.47 and 15,978.51

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Solution

The fourth proportional to 27,911.34, 38,518.47 and 15,978.51 is: 22,050.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,911.34 : 38,518.47 = 15,978.51 : x
  2. Step 2: Convert to fraction form
    27,911.34/38,518.47 = 15,978.51/x
  3. Step 3: Cross multiply
    27,911.34x = 38,518.47 × 15,978.51
  4. Step 4: Simplify right side
    27,911.34x = 615,467,758.08
  5. Step 5: Solve for x
    x = 615,467,758.08/27,911.34
  6. Step 6: Final answer
    x = 22,050.81

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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.