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Finding the Fourth Proportional to 13,291.10, 19,898.04 and 7,727.48

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Solution

The fourth proportional to 13,291.10, 19,898.04 and 7,727.48 is: 11,568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,291.10 : 19,898.04 = 7,727.48 : x
  2. Step 2: Convert to fraction form
    13,291.10/19,898.04 = 7,727.48/x
  3. Step 3: Cross multiply
    13,291.10x = 19,898.04 × 7,727.48
  4. Step 4: Simplify right side
    13,291.10x = 153,761,706.14
  5. Step 5: Solve for x
    x = 153,761,706.14/13,291.10
  6. Step 6: Final answer
    x = 11,568.77

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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.