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Finding the Fourth Proportional to 19,508.49, 29,263.57 and 7,664.83

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Solution

The fourth proportional to 19,508.49, 29,263.57 and 7,664.83 is: 11,497.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,508.49 : 29,263.57 = 7,664.83 : x
  2. Step 2: Convert to fraction form
    19,508.49/29,263.57 = 7,664.83/x
  3. Step 3: Cross multiply
    19,508.49x = 29,263.57 × 7,664.83
  4. Step 4: Simplify right side
    19,508.49x = 224,300,206.50
  5. Step 5: Solve for x
    x = 224,300,206.50/19,508.49
  6. Step 6: Final answer
    x = 11,497.57

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Why These Related Problems?

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