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Finding the Fourth Proportional to 14,156.74, 19,533.44 and 8,186.22

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Solution

The fourth proportional to 14,156.74, 19,533.44 and 8,186.22 is: 11,295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,156.74 : 19,533.44 = 8,186.22 : x
  2. Step 2: Convert to fraction form
    14,156.74/19,533.44 = 8,186.22/x
  3. Step 3: Cross multiply
    14,156.74x = 19,533.44 × 8,186.22
  4. Step 4: Simplify right side
    14,156.74x = 159,905,037.20
  5. Step 5: Solve for x
    x = 159,905,037.20/14,156.74
  6. Step 6: Final answer
    x = 11,295.33

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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.