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Finding the Fourth Proportional to 14,708.94, 22,035.57 and 11,405.82

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Solution

The fourth proportional to 14,708.94, 22,035.57 and 11,405.82 is: 17,087.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,708.94 : 22,035.57 = 11,405.82 : x
  2. Step 2: Convert to fraction form
    14,708.94/22,035.57 = 11,405.82/x
  3. Step 3: Cross multiply
    14,708.94x = 22,035.57 × 11,405.82
  4. Step 4: Simplify right side
    14,708.94x = 251,333,745.02
  5. Step 5: Solve for x
    x = 251,333,745.02/14,708.94
  6. Step 6: Final answer
    x = 17,087.14

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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.