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Finding the Fourth Proportional to 13,253.69, 19,869.74 and 7,330.34

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Solution

The fourth proportional to 13,253.69, 19,869.74 and 7,330.34 is: 10,989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,253.69 : 19,869.74 = 7,330.34 : x
  2. Step 2: Convert to fraction form
    13,253.69/19,869.74 = 7,330.34/x
  3. Step 3: Cross multiply
    13,253.69x = 19,869.74 × 7,330.34
  4. Step 4: Simplify right side
    13,253.69x = 145,651,949.91
  5. Step 5: Solve for x
    x = 145,651,949.91/13,253.69
  6. Step 6: Final answer
    x = 10,989.54

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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.