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Finding the Fourth Proportional to 13,454.77, 18,567.67 and 7,486.69

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Solution

The fourth proportional to 13,454.77, 18,567.67 and 7,486.69 is: 10,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.77 : 18,567.67 = 7,486.69 : x
  2. Step 2: Convert to fraction form
    13,454.77/18,567.67 = 7,486.69/x
  3. Step 3: Cross multiply
    13,454.77x = 18,567.67 × 7,486.69
  4. Step 4: Simplify right side
    13,454.77x = 139,010,296.47
  5. Step 5: Solve for x
    x = 139,010,296.47/13,454.77
  6. Step 6: Final answer
    x = 10,331.68

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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.