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Finding the Fourth Proportional to 13,243.35, 19,858.61 and 7,698.29

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Solution

The fourth proportional to 13,243.35, 19,858.61 and 7,698.29 is: 11,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,243.35 : 19,858.61 = 7,698.29 : x
  2. Step 2: Convert to fraction form
    13,243.35/19,858.61 = 7,698.29/x
  3. Step 3: Cross multiply
    13,243.35x = 19,858.61 × 7,698.29
  4. Step 4: Simplify right side
    13,243.35x = 152,877,407.67
  5. Step 5: Solve for x
    x = 152,877,407.67/13,243.35
  6. Step 6: Final answer
    x = 11,543.71

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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.