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Finding the Fourth Proportional to 26,319, 39,497.98 and 12,468.04

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Solution

The fourth proportional to 26,319, 39,497.98 and 12,468.04 is: 18,711.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,319 : 39,497.98 = 12,468.04 : x
  2. Step 2: Convert to fraction form
    26,319/39,497.98 = 12,468.04/x
  3. Step 3: Cross multiply
    26,319x = 39,497.98 × 12,468.04
  4. Step 4: Simplify right side
    26,319x = 492,462,394.56
  5. Step 5: Solve for x
    x = 492,462,394.56/26,319
  6. Step 6: Final answer
    x = 18,711.29

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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.