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Finding the Fourth Proportional to 17,569.81, 26,363.37 and 8,210.48

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Solution

The fourth proportional to 17,569.81, 26,363.37 and 8,210.48 is: 12,319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,569.81 : 26,363.37 = 8,210.48 : x
  2. Step 2: Convert to fraction form
    17,569.81/26,363.37 = 8,210.48/x
  3. Step 3: Cross multiply
    17,569.81x = 26,363.37 × 8,210.48
  4. Step 4: Simplify right side
    17,569.81x = 216,455,922.12
  5. Step 5: Solve for x
    x = 216,455,922.12/17,569.81
  6. Step 6: Final answer
    x = 12,319.76

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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.