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Finding the Fourth Proportional to 13,277.90, 19,928.20 and 7,042.26

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Solution

The fourth proportional to 13,277.90, 19,928.20 and 7,042.26 is: 10,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,277.90 : 19,928.20 = 7,042.26 : x
  2. Step 2: Convert to fraction form
    13,277.90/19,928.20 = 7,042.26/x
  3. Step 3: Cross multiply
    13,277.90x = 19,928.20 × 7,042.26
  4. Step 4: Simplify right side
    13,277.90x = 140,339,565.73
  5. Step 5: Solve for x
    x = 140,339,565.73/13,277.90
  6. Step 6: Final answer
    x = 10,569.41

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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.