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Finding the Fourth Proportional to 19,977.39, 29,948.81 and 7,656.75

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Solution

The fourth proportional to 19,977.39, 29,948.81 and 7,656.75 is: 11,478.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,977.39 : 29,948.81 = 7,656.75 : x
  2. Step 2: Convert to fraction form
    19,977.39/29,948.81 = 7,656.75/x
  3. Step 3: Cross multiply
    19,977.39x = 29,948.81 × 7,656.75
  4. Step 4: Simplify right side
    19,977.39x = 229,310,512.68
  5. Step 5: Solve for x
    x = 229,310,512.68/19,977.39
  6. Step 6: Final answer
    x = 11,478.50

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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.