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Finding the Fourth Proportional to 17,407.86, 26,103.22 and 6,312.90

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Solution

The fourth proportional to 17,407.86, 26,103.22 and 6,312.90 is: 9,466.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.86 : 26,103.22 = 6,312.90 : x
  2. Step 2: Convert to fraction form
    17,407.86/26,103.22 = 6,312.90/x
  3. Step 3: Cross multiply
    17,407.86x = 26,103.22 × 6,312.90
  4. Step 4: Simplify right side
    17,407.86x = 164,787,017.54
  5. Step 5: Solve for x
    x = 164,787,017.54/17,407.86
  6. Step 6: Final answer
    x = 9,466.24

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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.