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Finding the Fourth Proportional to 14,200.76, 19,597.74 and 8,231.36

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Solution

The fourth proportional to 14,200.76, 19,597.74 and 8,231.36 is: 11,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.76 : 19,597.74 = 8,231.36 : x
  2. Step 2: Convert to fraction form
    14,200.76/19,597.74 = 8,231.36/x
  3. Step 3: Cross multiply
    14,200.76x = 19,597.74 × 8,231.36
  4. Step 4: Simplify right side
    14,200.76x = 161,316,053.13
  5. Step 5: Solve for x
    x = 161,316,053.13/14,200.76
  6. Step 6: Final answer
    x = 11,359.68

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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.