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Finding the Fourth Proportional to 12,565.84, 17,333.74 and 8,020.24

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Solution

The fourth proportional to 12,565.84, 17,333.74 and 8,020.24 is: 11,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.84 : 17,333.74 = 8,020.24 : x
  2. Step 2: Convert to fraction form
    12,565.84/17,333.74 = 8,020.24/x
  3. Step 3: Cross multiply
    12,565.84x = 17,333.74 × 8,020.24
  4. Step 4: Simplify right side
    12,565.84x = 139,020,754.90
  5. Step 5: Solve for x
    x = 139,020,754.90/12,565.84
  6. Step 6: Final answer
    x = 11,063.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.