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Finding the Fourth Proportional to 28,422.42, 42,633.60 and 7,645.92

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Solution

The fourth proportional to 28,422.42, 42,633.60 and 7,645.92 is: 11,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,422.42 : 42,633.60 = 7,645.92 : x
  2. Step 2: Convert to fraction form
    28,422.42/42,633.60 = 7,645.92/x
  3. Step 3: Cross multiply
    28,422.42x = 42,633.60 × 7,645.92
  4. Step 4: Simplify right side
    28,422.42x = 325,973,094.91
  5. Step 5: Solve for x
    x = 325,973,094.91/28,422.42
  6. Step 6: Final answer
    x = 11,468.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.