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Finding the Fourth Proportional to 13,454.32, 18,567.66 and 7,486.56

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Solution

The fourth proportional to 13,454.32, 18,567.66 and 7,486.56 is: 10,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.32 : 18,567.66 = 7,486.56 : x
  2. Step 2: Convert to fraction form
    13,454.32/18,567.66 = 7,486.56/x
  3. Step 3: Cross multiply
    13,454.32x = 18,567.66 × 7,486.56
  4. Step 4: Simplify right side
    13,454.32x = 139,007,900.65
  5. Step 5: Solve for x
    x = 139,007,900.65/13,454.32
  6. Step 6: Final answer
    x = 10,331.84

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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.