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Finding the Fourth Proportional to 13,282.84, 19,932.16 and 6,709.69

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Solution

The fourth proportional to 13,282.84, 19,932.16 and 6,709.69 is: 10,068.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.84 : 19,932.16 = 6,709.69 : x
  2. Step 2: Convert to fraction form
    13,282.84/19,932.16 = 6,709.69/x
  3. Step 3: Cross multiply
    13,282.84x = 19,932.16 × 6,709.69
  4. Step 4: Simplify right side
    13,282.84x = 133,738,614.63
  5. Step 5: Solve for x
    x = 133,738,614.63/13,282.84
  6. Step 6: Final answer
    x = 10,068.53

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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.