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Finding the Fourth Proportional to 11,645.10, 17,438.49 and 9,295.02

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Solution

The fourth proportional to 11,645.10, 17,438.49 and 9,295.02 is: 13,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.10 : 17,438.49 = 9,295.02 : x
  2. Step 2: Convert to fraction form
    11,645.10/17,438.49 = 9,295.02/x
  3. Step 3: Cross multiply
    11,645.10x = 17,438.49 × 9,295.02
  4. Step 4: Simplify right side
    11,645.10x = 162,091,113.32
  5. Step 5: Solve for x
    x = 162,091,113.32/11,645.10
  6. Step 6: Final answer
    x = 13,919.25

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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.