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Finding the Fourth Proportional to 13,028.90, 19,535.63 and 7,397.64

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Solution

The fourth proportional to 13,028.90, 19,535.63 and 7,397.64 is: 11,092.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,028.90 : 19,535.63 = 7,397.64 : x
  2. Step 2: Convert to fraction form
    13,028.90/19,535.63 = 7,397.64/x
  3. Step 3: Cross multiply
    13,028.90x = 19,535.63 × 7,397.64
  4. Step 4: Simplify right side
    13,028.90x = 144,517,520.93
  5. Step 5: Solve for x
    x = 144,517,520.93/13,028.90
  6. Step 6: Final answer
    x = 11,092.08

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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.