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Finding the Fourth Proportional to 13,793.16, 19,034.64 and 7,505.52

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Solution

The fourth proportional to 13,793.16, 19,034.64 and 7,505.52 is: 10,357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.16 : 19,034.64 = 7,505.52 : x
  2. Step 2: Convert to fraction form
    13,793.16/19,034.64 = 7,505.52/x
  3. Step 3: Cross multiply
    13,793.16x = 19,034.64 × 7,505.52
  4. Step 4: Simplify right side
    13,793.16x = 142,864,871.21
  5. Step 5: Solve for x
    x = 142,864,871.21/13,793.16
  6. Step 6: Final answer
    x = 10,357.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.