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Finding the Fourth Proportional to 11,973.48, 17,854.74 and 11,142.42

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Solution

The fourth proportional to 11,973.48, 17,854.74 and 11,142.42 is: 16,615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.48 : 17,854.74 = 11,142.42 : x
  2. Step 2: Convert to fraction form
    11,973.48/17,854.74 = 11,142.42/x
  3. Step 3: Cross multiply
    11,973.48x = 17,854.74 × 11,142.42
  4. Step 4: Simplify right side
    11,973.48x = 198,945,012.07
  5. Step 5: Solve for x
    x = 198,945,012.07/11,973.48
  6. Step 6: Final answer
    x = 16,615.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.