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Finding the Fourth Proportional to 13,642.58, 18,826.21 and 7,592.65

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Solution

The fourth proportional to 13,642.58, 18,826.21 and 7,592.65 is: 10,477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.58 : 18,826.21 = 7,592.65 : x
  2. Step 2: Convert to fraction form
    13,642.58/18,826.21 = 7,592.65/x
  3. Step 3: Cross multiply
    13,642.58x = 18,826.21 × 7,592.65
  4. Step 4: Simplify right side
    13,642.58x = 142,940,934.47
  5. Step 5: Solve for x
    x = 142,940,934.47/13,642.58
  6. Step 6: Final answer
    x = 10,477.56

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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.