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Finding the Fourth Proportional to 12,812.84, 17,677.64 and 10,115.56

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Solution

The fourth proportional to 12,812.84, 17,677.64 and 10,115.56 is: 13,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.84 : 17,677.64 = 10,115.56 : x
  2. Step 2: Convert to fraction form
    12,812.84/17,677.64 = 10,115.56/x
  3. Step 3: Cross multiply
    12,812.84x = 17,677.64 × 10,115.56
  4. Step 4: Simplify right side
    12,812.84x = 178,819,228.08
  5. Step 5: Solve for x
    x = 178,819,228.08/12,812.84
  6. Step 6: Final answer
    x = 13,956.25

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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.