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Finding the Fourth Proportional to 23,733, 32,752.08 and 15,364.08

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Solution

The fourth proportional to 23,733, 32,752.08 and 15,364.08 is: 21,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,733 : 32,752.08 = 15,364.08 : x
  2. Step 2: Convert to fraction form
    23,733/32,752.08 = 15,364.08/x
  3. Step 3: Cross multiply
    23,733x = 32,752.08 × 15,364.08
  4. Step 4: Simplify right side
    23,733x = 503,205,577.29
  5. Step 5: Solve for x
    x = 503,205,577.29/23,733
  6. Step 6: Final answer
    x = 21,202.78

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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.