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Finding the Fourth Proportional to 14,310, 19,747.80 and 8,341.92

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Solution

The fourth proportional to 14,310, 19,747.80 and 8,341.92 is: 11,511.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310 : 19,747.80 = 8,341.92 : x
  2. Step 2: Convert to fraction form
    14,310/19,747.80 = 8,341.92/x
  3. Step 3: Cross multiply
    14,310x = 19,747.80 × 8,341.92
  4. Step 4: Simplify right side
    14,310x = 164,734,567.78
  5. Step 5: Solve for x
    x = 164,734,567.78/14,310
  6. Step 6: Final answer
    x = 11,511.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.