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Finding the Fourth Proportional to 15,786.68, 21,784.77 and 9,818.18

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Solution

The fourth proportional to 15,786.68, 21,784.77 and 9,818.18 is: 13,548.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,786.68 : 21,784.77 = 9,818.18 : x
  2. Step 2: Convert to fraction form
    15,786.68/21,784.77 = 9,818.18/x
  3. Step 3: Cross multiply
    15,786.68x = 21,784.77 × 9,818.18
  4. Step 4: Simplify right side
    15,786.68x = 213,886,793.12
  5. Step 5: Solve for x
    x = 213,886,793.12/15,786.68
  6. Step 6: Final answer
    x = 13,548.56

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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.