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Finding the Fourth Proportional to 13,046.80, 19,547.84 and 8,764.50

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Solution

The fourth proportional to 13,046.80, 19,547.84 and 8,764.50 is: 13,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.80 : 19,547.84 = 8,764.50 : x
  2. Step 2: Convert to fraction form
    13,046.80/19,547.84 = 8,764.50/x
  3. Step 3: Cross multiply
    13,046.80x = 19,547.84 × 8,764.50
  4. Step 4: Simplify right side
    13,046.80x = 171,327,043.68
  5. Step 5: Solve for x
    x = 171,327,043.68/13,046.80
  6. Step 6: Final answer
    x = 13,131.73

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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.