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Finding the Fourth Proportional to 13,862.75, 19,130.57 and 7,894.42

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Solution

The fourth proportional to 13,862.75, 19,130.57 and 7,894.42 is: 10,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,862.75 : 19,130.57 = 7,894.42 : x
  2. Step 2: Convert to fraction form
    13,862.75/19,130.57 = 7,894.42/x
  3. Step 3: Cross multiply
    13,862.75x = 19,130.57 × 7,894.42
  4. Step 4: Simplify right side
    13,862.75x = 151,024,754.42
  5. Step 5: Solve for x
    x = 151,024,754.42/13,862.75
  6. Step 6: Final answer
    x = 10,894.29

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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.