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Finding the Fourth Proportional to 13,830.68, 19,086.25 and 7,862.35

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Solution

The fourth proportional to 13,830.68, 19,086.25 and 7,862.35 is: 10,849.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.68 : 19,086.25 = 7,862.35 : x
  2. Step 2: Convert to fraction form
    13,830.68/19,086.25 = 7,862.35/x
  3. Step 3: Cross multiply
    13,830.68x = 19,086.25 × 7,862.35
  4. Step 4: Simplify right side
    13,830.68x = 150,062,669.62
  5. Step 5: Solve for x
    x = 150,062,669.62/13,830.68
  6. Step 6: Final answer
    x = 10,849.99

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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.