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Finding the Fourth Proportional to 13,822.01, 19,074.65 and 7,534.38

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Solution

The fourth proportional to 13,822.01, 19,074.65 and 7,534.38 is: 10,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.01 : 19,074.65 = 7,534.38 : x
  2. Step 2: Convert to fraction form
    13,822.01/19,074.65 = 7,534.38/x
  3. Step 3: Cross multiply
    13,822.01x = 19,074.65 × 7,534.38
  4. Step 4: Simplify right side
    13,822.01x = 143,715,661.47
  5. Step 5: Solve for x
    x = 143,715,661.47/13,822.01
  6. Step 6: Final answer
    x = 10,397.59

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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.