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Finding the Fourth Proportional to 14,211.66, 19,588.59 and 9,494.22

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Solution

The fourth proportional to 14,211.66, 19,588.59 and 9,494.22 is: 13,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,211.66 : 19,588.59 = 9,494.22 : x
  2. Step 2: Convert to fraction form
    14,211.66/19,588.59 = 9,494.22/x
  3. Step 3: Cross multiply
    14,211.66x = 19,588.59 × 9,494.22
  4. Step 4: Simplify right side
    14,211.66x = 185,978,382.95
  5. Step 5: Solve for x
    x = 185,978,382.95/14,211.66
  6. Step 6: Final answer
    x = 13,086.32

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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.