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Finding the Fourth Proportional to 17,569.71, 26,370.16 and 8,214.82

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Solution

The fourth proportional to 17,569.71, 26,370.16 and 8,214.82 is: 12,329.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,569.71 : 26,370.16 = 8,214.82 : x
  2. Step 2: Convert to fraction form
    17,569.71/26,370.16 = 8,214.82/x
  3. Step 3: Cross multiply
    17,569.71x = 26,370.16 × 8,214.82
  4. Step 4: Simplify right side
    17,569.71x = 216,626,031.31
  5. Step 5: Solve for x
    x = 216,626,031.31/17,569.71
  6. Step 6: Final answer
    x = 12,329.52

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1.5x scale

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.