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Finding the Fourth Proportional to 14,089.01, 19,442.94 and 8,120.66

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Solution

The fourth proportional to 14,089.01, 19,442.94 and 8,120.66 is: 11,206.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.01 : 19,442.94 = 8,120.66 : x
  2. Step 2: Convert to fraction form
    14,089.01/19,442.94 = 8,120.66/x
  3. Step 3: Cross multiply
    14,089.01x = 19,442.94 × 8,120.66
  4. Step 4: Simplify right side
    14,089.01x = 157,889,505.14
  5. Step 5: Solve for x
    x = 157,889,505.14/14,089.01
  6. Step 6: Final answer
    x = 11,206.57

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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.