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Finding the Fourth Proportional to 13,277.84, 18,329.64 and 7,687.76

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Solution

The fourth proportional to 13,277.84, 18,329.64 and 7,687.76 is: 10,612.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277.84 : 18,329.64 = 7,687.76 : x
  2. Step 2: Convert to fraction form
    13,277.84/18,329.64 = 7,687.76/x
  3. Step 3: Cross multiply
    13,277.84x = 18,329.64 × 7,687.76
  4. Step 4: Simplify right side
    13,277.84x = 140,913,873.21
  5. Step 5: Solve for x
    x = 140,913,873.21/13,277.84
  6. Step 6: Final answer
    x = 10,612.71

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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.