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Finding the Fourth Proportional to 13,509.97, 18,642.65 and 7,842.91

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Solution

The fourth proportional to 13,509.97, 18,642.65 and 7,842.91 is: 10,822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.97 : 18,642.65 = 7,842.91 : x
  2. Step 2: Convert to fraction form
    13,509.97/18,642.65 = 7,842.91/x
  3. Step 3: Cross multiply
    13,509.97x = 18,642.65 × 7,842.91
  4. Step 4: Simplify right side
    13,509.97x = 146,212,518.65
  5. Step 5: Solve for x
    x = 146,212,518.65/13,509.97
  6. Step 6: Final answer
    x = 10,822.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.