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Finding the Fourth Proportional to 27,881.78, 38,475.51 and 15,782.81

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Solution

The fourth proportional to 27,881.78, 38,475.51 and 15,782.81 is: 21,779.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,881.78 : 38,475.51 = 15,782.81 : x
  2. Step 2: Convert to fraction form
    27,881.78/38,475.51 = 15,782.81/x
  3. Step 3: Cross multiply
    27,881.78x = 38,475.51 × 15,782.81
  4. Step 4: Simplify right side
    27,881.78x = 607,251,471.61
  5. Step 5: Solve for x
    x = 607,251,471.61/27,881.78
  6. Step 6: Final answer
    x = 21,779.51

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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.