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Finding the Fourth Proportional to 14,142.69, 19,519.80 and 8,173.53

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Solution

The fourth proportional to 14,142.69, 19,519.80 and 8,173.53 is: 11,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.69 : 19,519.80 = 8,173.53 : x
  2. Step 2: Convert to fraction form
    14,142.69/19,519.80 = 8,173.53/x
  3. Step 3: Cross multiply
    14,142.69x = 19,519.80 × 8,173.53
  4. Step 4: Simplify right side
    14,142.69x = 159,545,670.89
  5. Step 5: Solve for x
    x = 159,545,670.89/14,142.69
  6. Step 6: Final answer
    x = 11,281.14

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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.