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Finding the Fourth Proportional to 14,149.85, 19,525.93 and 7,862.23

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Solution

The fourth proportional to 14,149.85, 19,525.93 and 7,862.23 is: 10,849.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.85 : 19,525.93 = 7,862.23 : x
  2. Step 2: Convert to fraction form
    14,149.85/19,525.93 = 7,862.23/x
  3. Step 3: Cross multiply
    14,149.85x = 19,525.93 × 7,862.23
  4. Step 4: Simplify right side
    14,149.85x = 153,517,352.62
  5. Step 5: Solve for x
    x = 153,517,352.62/14,149.85
  6. Step 6: Final answer
    x = 10,849.40

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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.