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Finding the Fourth Proportional to 14,086.76, 21,099.42 and 7,054.50

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Solution

The fourth proportional to 14,086.76, 21,099.42 and 7,054.50 is: 10,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,086.76 : 21,099.42 = 7,054.50 : x
  2. Step 2: Convert to fraction form
    14,086.76/21,099.42 = 7,054.50/x
  3. Step 3: Cross multiply
    14,086.76x = 21,099.42 × 7,054.50
  4. Step 4: Simplify right side
    14,086.76x = 148,845,963.97
  5. Step 5: Solve for x
    x = 148,845,963.97/14,086.76
  6. Step 6: Final answer
    x = 10,566.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.