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Finding the Fourth Proportional to 12,253.82, 16,905.69 and 7,214.96

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Solution

The fourth proportional to 12,253.82, 16,905.69 and 7,214.96 is: 9,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,253.82 : 16,905.69 = 7,214.96 : x
  2. Step 2: Convert to fraction form
    12,253.82/16,905.69 = 7,214.96/x
  3. Step 3: Cross multiply
    12,253.82x = 16,905.69 × 7,214.96
  4. Step 4: Simplify right side
    12,253.82x = 121,973,877.12
  5. Step 5: Solve for x
    x = 121,973,877.12/12,253.82
  6. Step 6: Final answer
    x = 9,953.95

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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.