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Finding the Fourth Proportional to 24,296, 33,518.88 and 15,340.16

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Solution

The fourth proportional to 24,296, 33,518.88 and 15,340.16 is: 21,163.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,296 : 33,518.88 = 15,340.16 : x
  2. Step 2: Convert to fraction form
    24,296/33,518.88 = 15,340.16/x
  3. Step 3: Cross multiply
    24,296x = 33,518.88 × 15,340.16
  4. Step 4: Simplify right side
    24,296x = 514,184,982.22
  5. Step 5: Solve for x
    x = 514,184,982.22/24,296
  6. Step 6: Final answer
    x = 21,163.36

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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.