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Finding the Fourth Proportional to 13,141.40, 19,719.68 and 7,297.52

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Solution

The fourth proportional to 13,141.40, 19,719.68 and 7,297.52 is: 10,950.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,141.40 : 19,719.68 = 7,297.52 : x
  2. Step 2: Convert to fraction form
    13,141.40/19,719.68 = 7,297.52/x
  3. Step 3: Cross multiply
    13,141.40x = 19,719.68 × 7,297.52
  4. Step 4: Simplify right side
    13,141.40x = 143,904,759.19
  5. Step 5: Solve for x
    x = 143,904,759.19/13,141.40
  6. Step 6: Final answer
    x = 10,950.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.