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Finding the Fourth Proportional to 19,033.24, 28,530.24 and 7,946.38

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Solution

The fourth proportional to 19,033.24, 28,530.24 and 7,946.38 is: 11,911.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,033.24 : 28,530.24 = 7,946.38 : x
  2. Step 2: Convert to fraction form
    19,033.24/28,530.24 = 7,946.38/x
  3. Step 3: Cross multiply
    19,033.24x = 28,530.24 × 7,946.38
  4. Step 4: Simplify right side
    19,033.24x = 226,712,128.53
  5. Step 5: Solve for x
    x = 226,712,128.53/19,033.24
  6. Step 6: Final answer
    x = 11,911.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.