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Finding the Fourth Proportional to 12,966.79, 19,431.78 and 9,994

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Solution

The fourth proportional to 12,966.79, 19,431.78 and 9,994 is: 14,976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966.79 : 19,431.78 = 9,994 : x
  2. Step 2: Convert to fraction form
    12,966.79/19,431.78 = 9,994/x
  3. Step 3: Cross multiply
    12,966.79x = 19,431.78 × 9,994
  4. Step 4: Simplify right side
    12,966.79x = 194,201,209.32
  5. Step 5: Solve for x
    x = 194,201,209.32/12,966.79
  6. Step 6: Final answer
    x = 14,976.81

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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.