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Finding the Fourth Proportional to 13,454.91, 18,567.93 and 7,486.53

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Solution

The fourth proportional to 13,454.91, 18,567.93 and 7,486.53 is: 10,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.91 : 18,567.93 = 7,486.53 : x
  2. Step 2: Convert to fraction form
    13,454.91/18,567.93 = 7,486.53/x
  3. Step 3: Cross multiply
    13,454.91x = 18,567.93 × 7,486.53
  4. Step 4: Simplify right side
    13,454.91x = 139,009,323.43
  5. Step 5: Solve for x
    x = 139,009,323.43/13,454.91
  6. Step 6: Final answer
    x = 10,331.49

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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.