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Finding the Fourth Proportional to 13,165.65, 19,749.49 and 4,400.57

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Solution

The fourth proportional to 13,165.65, 19,749.49 and 4,400.57 is: 6,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,165.65 : 19,749.49 = 4,400.57 : x
  2. Step 2: Convert to fraction form
    13,165.65/19,749.49 = 4,400.57/x
  3. Step 3: Cross multiply
    13,165.65x = 19,749.49 × 4,400.57
  4. Step 4: Simplify right side
    13,165.65x = 86,909,051.58
  5. Step 5: Solve for x
    x = 86,909,051.58/13,165.65
  6. Step 6: Final answer
    x = 6,601.20

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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.