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Finding the Fourth Proportional to 17,829.30, 26,742 and 4,679.94

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Solution

The fourth proportional to 17,829.30, 26,742 and 4,679.94 is: 7,019.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.30 : 26,742 = 4,679.94 : x
  2. Step 2: Convert to fraction form
    17,829.30/26,742 = 4,679.94/x
  3. Step 3: Cross multiply
    17,829.30x = 26,742 × 4,679.94
  4. Step 4: Simplify right side
    17,829.30x = 125,150,955.48
  5. Step 5: Solve for x
    x = 125,150,955.48/17,829.30
  6. Step 6: Final answer
    x = 7,019.40

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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.