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Finding the Fourth Proportional to 13,250.22, 19,782.19 and 10,113.72

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Solution

The fourth proportional to 13,250.22, 19,782.19 and 10,113.72 is: 15,099.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,250.22 : 19,782.19 = 10,113.72 : x
  2. Step 2: Convert to fraction form
    13,250.22/19,782.19 = 10,113.72/x
  3. Step 3: Cross multiply
    13,250.22x = 19,782.19 × 10,113.72
  4. Step 4: Simplify right side
    13,250.22x = 200,071,530.65
  5. Step 5: Solve for x
    x = 200,071,530.65/13,250.22
  6. Step 6: Final answer
    x = 15,099.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.