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Finding the Fourth Proportional to 15,985.24, 22,059.30 and 8,911.24

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Solution

The fourth proportional to 15,985.24, 22,059.30 and 8,911.24 is: 12,297.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,985.24 : 22,059.30 = 8,911.24 : x
  2. Step 2: Convert to fraction form
    15,985.24/22,059.30 = 8,911.24/x
  3. Step 3: Cross multiply
    15,985.24x = 22,059.30 × 8,911.24
  4. Step 4: Simplify right side
    15,985.24x = 196,575,716.53
  5. Step 5: Solve for x
    x = 196,575,716.53/15,985.24
  6. Step 6: Final answer
    x = 12,297.33

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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.