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Finding the Fourth Proportional to 15,756.12, 21,747.78 and 9,784.44

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Solution

The fourth proportional to 15,756.12, 21,747.78 and 9,784.44 is: 13,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,756.12 : 21,747.78 = 9,784.44 : x
  2. Step 2: Convert to fraction form
    15,756.12/21,747.78 = 9,784.44/x
  3. Step 3: Cross multiply
    15,756.12x = 21,747.78 × 9,784.44
  4. Step 4: Simplify right side
    15,756.12x = 212,789,848.54
  5. Step 5: Solve for x
    x = 212,789,848.54/15,756.12
  6. Step 6: Final answer
    x = 13,505.22

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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.