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Finding the Fourth Proportional to 12,901, 19,335.31 and 6,977.65

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Solution

The fourth proportional to 12,901, 19,335.31 and 6,977.65 is: 10,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,901 : 19,335.31 = 6,977.65 : x
  2. Step 2: Convert to fraction form
    12,901/19,335.31 = 6,977.65/x
  3. Step 3: Cross multiply
    12,901x = 19,335.31 × 6,977.65
  4. Step 4: Simplify right side
    12,901x = 134,914,990.93
  5. Step 5: Solve for x
    x = 134,914,990.93/12,901
  6. Step 6: Final answer
    x = 10,457.72

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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.