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Finding the Fourth Proportional to 13,104.86, 19,657.48 and 7,298.36

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Solution

The fourth proportional to 13,104.86, 19,657.48 and 7,298.36 is: 10,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,104.86 : 19,657.48 = 7,298.36 : x
  2. Step 2: Convert to fraction form
    13,104.86/19,657.48 = 7,298.36/x
  3. Step 3: Cross multiply
    13,104.86x = 19,657.48 × 7,298.36
  4. Step 4: Simplify right side
    13,104.86x = 143,467,365.73
  5. Step 5: Solve for x
    x = 143,467,365.73/13,104.86
  6. Step 6: Final answer
    x = 10,947.65

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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.