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Finding the Fourth Proportional to 15,996.54, 22,077.36 and 9,709.02

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Solution

The fourth proportional to 15,996.54, 22,077.36 and 9,709.02 is: 13,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,996.54 : 22,077.36 = 9,709.02 : x
  2. Step 2: Convert to fraction form
    15,996.54/22,077.36 = 9,709.02/x
  3. Step 3: Cross multiply
    15,996.54x = 22,077.36 × 9,709.02
  4. Step 4: Simplify right side
    15,996.54x = 214,349,529.79
  5. Step 5: Solve for x
    x = 214,349,529.79/15,996.54
  6. Step 6: Final answer
    x = 13,399.74

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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.