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Finding the Fourth Proportional to 23,441, 35,170.14 and 12,347.24

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Solution

The fourth proportional to 23,441, 35,170.14 and 12,347.24 is: 18,525.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,441 : 35,170.14 = 12,347.24 : x
  2. Step 2: Convert to fraction form
    23,441/35,170.14 = 12,347.24/x
  3. Step 3: Cross multiply
    23,441x = 35,170.14 × 12,347.24
  4. Step 4: Simplify right side
    23,441x = 434,254,159.41
  5. Step 5: Solve for x
    x = 434,254,159.41/23,441
  6. Step 6: Final answer
    x = 18,525.41

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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.