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Finding the Fourth Proportional to 14,149.89, 19,527.08 and 7,862.27

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Solution

The fourth proportional to 14,149.89, 19,527.08 and 7,862.27 is: 10,850.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,149.89 : 19,527.08 = 7,862.27 : x
  2. Step 2: Convert to fraction form
    14,149.89/19,527.08 = 7,862.27/x
  3. Step 3: Cross multiply
    14,149.89x = 19,527.08 × 7,862.27
  4. Step 4: Simplify right side
    14,149.89x = 153,527,038.32
  5. Step 5: Solve for x
    x = 153,527,038.32/14,149.89
  6. Step 6: Final answer
    x = 10,850.05

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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.