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Finding the Fourth Proportional to 19,078.68, 26,327.67 and 10,580.14

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Solution

The fourth proportional to 19,078.68, 26,327.67 and 10,580.14 is: 14,600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,078.68 : 26,327.67 = 10,580.14 : x
  2. Step 2: Convert to fraction form
    19,078.68/26,327.67 = 10,580.14/x
  3. Step 3: Cross multiply
    19,078.68x = 26,327.67 × 10,580.14
  4. Step 4: Simplify right side
    19,078.68x = 278,550,467.38
  5. Step 5: Solve for x
    x = 278,550,467.38/19,078.68
  6. Step 6: Final answer
    x = 14,600.09

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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.