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Finding the Fourth Proportional to 17,357.29, 26,035.70 and 4,209.77

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Solution

The fourth proportional to 17,357.29, 26,035.70 and 4,209.77 is: 6,314.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,357.29 : 26,035.70 = 4,209.77 : x
  2. Step 2: Convert to fraction form
    17,357.29/26,035.70 = 4,209.77/x
  3. Step 3: Cross multiply
    17,357.29x = 26,035.70 × 4,209.77
  4. Step 4: Simplify right side
    17,357.29x = 109,604,352.83
  5. Step 5: Solve for x
    x = 109,604,352.83/17,357.29
  6. Step 6: Final answer
    x = 6,314.60

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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.