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Finding the Fourth Proportional to 23,409.68, 35,107.22 and 7,823.66

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Solution

The fourth proportional to 23,409.68, 35,107.22 and 7,823.66 is: 11,733.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409.68 : 35,107.22 = 7,823.66 : x
  2. Step 2: Convert to fraction form
    23,409.68/35,107.22 = 7,823.66/x
  3. Step 3: Cross multiply
    23,409.68x = 35,107.22 × 7,823.66
  4. Step 4: Simplify right side
    23,409.68x = 274,666,952.83
  5. Step 5: Solve for x
    x = 274,666,952.83/23,409.68
  6. Step 6: Final answer
    x = 11,733.05

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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.