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Finding the Fourth Proportional to 12,966.66, 19,433.07 and 5,944.14

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Solution

The fourth proportional to 12,966.66, 19,433.07 and 5,944.14 is: 8,908.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.66 : 19,433.07 = 5,944.14 : x
  2. Step 2: Convert to fraction form
    12,966.66/19,433.07 = 5,944.14/x
  3. Step 3: Cross multiply
    12,966.66x = 19,433.07 × 5,944.14
  4. Step 4: Simplify right side
    12,966.66x = 115,512,888.71
  5. Step 5: Solve for x
    x = 115,512,888.71/12,966.66
  6. Step 6: Final answer
    x = 8,908.45

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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.