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Finding the Fourth Proportional to 14,458.94, 21,691.60 and 6,146.06

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Solution

The fourth proportional to 14,458.94, 21,691.60 and 6,146.06 is: 9,220.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458.94 : 21,691.60 = 6,146.06 : x
  2. Step 2: Convert to fraction form
    14,458.94/21,691.60 = 6,146.06/x
  3. Step 3: Cross multiply
    14,458.94x = 21,691.60 × 6,146.06
  4. Step 4: Simplify right side
    14,458.94x = 133,317,751.27
  5. Step 5: Solve for x
    x = 133,317,751.27/14,458.94
  6. Step 6: Final answer
    x = 9,220.44

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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.