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Finding the Fourth Proportional to 13,530.69, 20,268.50 and 11,040.75

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Solution

The fourth proportional to 13,530.69, 20,268.50 and 11,040.75 is: 16,538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.69 : 20,268.50 = 11,040.75 : x
  2. Step 2: Convert to fraction form
    13,530.69/20,268.50 = 11,040.75/x
  3. Step 3: Cross multiply
    13,530.69x = 20,268.50 × 11,040.75
  4. Step 4: Simplify right side
    13,530.69x = 223,779,386.17
  5. Step 5: Solve for x
    x = 223,779,386.17/13,530.69
  6. Step 6: Final answer
    x = 16,538.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.