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Finding the Fourth Proportional to 13,907.97, 19,192.88 and 7,534.42

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Solution

The fourth proportional to 13,907.97, 19,192.88 and 7,534.42 is: 10,397.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.97 : 19,192.88 = 7,534.42 : x
  2. Step 2: Convert to fraction form
    13,907.97/19,192.88 = 7,534.42/x
  3. Step 3: Cross multiply
    13,907.97x = 19,192.88 × 7,534.42
  4. Step 4: Simplify right side
    13,907.97x = 144,607,218.93
  5. Step 5: Solve for x
    x = 144,607,218.93/13,907.97
  6. Step 6: Final answer
    x = 10,397.44

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