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Finding the Fourth Proportional to 24,329, 36,488.64 and 6,798.98

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Solution

The fourth proportional to 24,329, 36,488.64 and 6,798.98 is: 10,197.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,329 : 36,488.64 = 6,798.98 : x
  2. Step 2: Convert to fraction form
    24,329/36,488.64 = 6,798.98/x
  3. Step 3: Cross multiply
    24,329x = 36,488.64 × 6,798.98
  4. Step 4: Simplify right side
    24,329x = 248,085,516.59
  5. Step 5: Solve for x
    x = 248,085,516.59/24,329
  6. Step 6: Final answer
    x = 10,197.11

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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.