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Finding the Fourth Proportional to 14,854.77, 22,294.46 and 7,461.34

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Solution

The fourth proportional to 14,854.77, 22,294.46 and 7,461.34 is: 11,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.77 : 22,294.46 = 7,461.34 : x
  2. Step 2: Convert to fraction form
    14,854.77/22,294.46 = 7,461.34/x
  3. Step 3: Cross multiply
    14,854.77x = 22,294.46 × 7,461.34
  4. Step 4: Simplify right side
    14,854.77x = 166,346,546.18
  5. Step 5: Solve for x
    x = 166,346,546.18/14,854.77
  6. Step 6: Final answer
    x = 11,198.19

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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.