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Finding the Fourth Proportional to 23,575.53, 32,533.86 and 12,965.14

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Solution

The fourth proportional to 23,575.53, 32,533.86 and 12,965.14 is: 17,891.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,575.53 : 32,533.86 = 12,965.14 : x
  2. Step 2: Convert to fraction form
    23,575.53/32,533.86 = 12,965.14/x
  3. Step 3: Cross multiply
    23,575.53x = 32,533.86 × 12,965.14
  4. Step 4: Simplify right side
    23,575.53x = 421,806,049.64
  5. Step 5: Solve for x
    x = 421,806,049.64/23,575.53
  6. Step 6: Final answer
    x = 17,891.69

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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.