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Finding the Fourth Proportional to 19,078.50, 26,329.14 and 10,695

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Solution

The fourth proportional to 19,078.50, 26,329.14 and 10,695 is: 14,759.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,078.50 : 26,329.14 = 10,695 : x
  2. Step 2: Convert to fraction form
    19,078.50/26,329.14 = 10,695/x
  3. Step 3: Cross multiply
    19,078.50x = 26,329.14 × 10,695
  4. Step 4: Simplify right side
    19,078.50x = 281,590,152.30
  5. Step 5: Solve for x
    x = 281,590,152.30/19,078.50
  6. Step 6: Final answer
    x = 14,759.55

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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.