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Finding the Fourth Proportional to 13,166.10, 19,752.89 and 6,504.63

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Solution

The fourth proportional to 13,166.10, 19,752.89 and 6,504.63 is: 9,758.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.10 : 19,752.89 = 6,504.63 : x
  2. Step 2: Convert to fraction form
    13,166.10/19,752.89 = 6,504.63/x
  3. Step 3: Cross multiply
    13,166.10x = 19,752.89 × 6,504.63
  4. Step 4: Simplify right side
    13,166.10x = 128,485,257.14
  5. Step 5: Solve for x
    x = 128,485,257.14/13,166.10
  6. Step 6: Final answer
    x = 9,758.79

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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.