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Finding the Fourth Proportional to 15,780.74, 21,777.37 and 8,707.16

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Solution

The fourth proportional to 15,780.74, 21,777.37 and 8,707.16 is: 12,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,780.74 : 21,777.37 = 8,707.16 : x
  2. Step 2: Convert to fraction form
    15,780.74/21,777.37 = 8,707.16/x
  3. Step 3: Cross multiply
    15,780.74x = 21,777.37 × 8,707.16
  4. Step 4: Simplify right side
    15,780.74x = 189,619,077.64
  5. Step 5: Solve for x
    x = 189,619,077.64/15,780.74
  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.