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Finding the Fourth Proportional to 13,793.96, 19,030.75 and 9,257.76

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Solution

The fourth proportional to 13,793.96, 19,030.75 and 9,257.76 is: 12,772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.96 : 19,030.75 = 9,257.76 : x
  2. Step 2: Convert to fraction form
    13,793.96/19,030.75 = 9,257.76/x
  3. Step 3: Cross multiply
    13,793.96x = 19,030.75 × 9,257.76
  4. Step 4: Simplify right side
    13,793.96x = 176,182,092.98
  5. Step 5: Solve for x
    x = 176,182,092.98/13,793.96
  6. Step 6: Final answer
    x = 12,772.41

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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.