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Finding the Fourth Proportional to 15,780.78, 21,777.48 and 8,707.14

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Solution

The fourth proportional to 15,780.78, 21,777.48 and 8,707.14 is: 12,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,780.78 : 21,777.48 = 8,707.14 : x
  2. Step 2: Convert to fraction form
    15,780.78/21,777.48 = 8,707.14/x
  3. Step 3: Cross multiply
    15,780.78x = 21,777.48 × 8,707.14
  4. Step 4: Simplify right side
    15,780.78x = 189,619,567.21
  5. Step 5: Solve for x
    x = 189,619,567.21/15,780.78
  6. Step 6: Final answer
    x = 12,015.86

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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.