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Finding the Fourth Proportional to 14,950.13, 20,631.72 and 9,288

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Solution

The fourth proportional to 14,950.13, 20,631.72 and 9,288 is: 12,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,950.13 : 20,631.72 = 9,288 : x
  2. Step 2: Convert to fraction form
    14,950.13/20,631.72 = 9,288/x
  3. Step 3: Cross multiply
    14,950.13x = 20,631.72 × 9,288
  4. Step 4: Simplify right side
    14,950.13x = 191,627,415.36
  5. Step 5: Solve for x
    x = 191,627,415.36/14,950.13
  6. Step 6: Final answer
    x = 12,817.78

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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.