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Finding the Fourth Proportional to 14,862.11, 20,509.47 and 8,147.78

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Solution

The fourth proportional to 14,862.11, 20,509.47 and 8,147.78 is: 11,243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,862.11 : 20,509.47 = 8,147.78 : x
  2. Step 2: Convert to fraction form
    14,862.11/20,509.47 = 8,147.78/x
  3. Step 3: Cross multiply
    14,862.11x = 20,509.47 × 8,147.78
  4. Step 4: Simplify right side
    14,862.11x = 167,106,643.99
  5. Step 5: Solve for x
    x = 167,106,643.99/14,862.11
  6. Step 6: Final answer
    x = 11,243.81

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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.