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Finding the Fourth Proportional to 14,519.81, 20,043.48 and 9,810.47

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Solution

The fourth proportional to 14,519.81, 20,043.48 and 9,810.47 is: 13,542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,519.81 : 20,043.48 = 9,810.47 : x
  2. Step 2: Convert to fraction form
    14,519.81/20,043.48 = 9,810.47/x
  3. Step 3: Cross multiply
    14,519.81x = 20,043.48 × 9,810.47
  4. Step 4: Simplify right side
    14,519.81x = 196,635,959.24
  5. Step 5: Solve for x
    x = 196,635,959.24/14,519.81
  6. Step 6: Final answer
    x = 13,542.60

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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.