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Finding the Fourth Proportional to 28,284.66, 42,431.58 and 9,565.84

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Solution

The fourth proportional to 28,284.66, 42,431.58 and 9,565.84 is: 14,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,284.66 : 42,431.58 = 9,565.84 : x
  2. Step 2: Convert to fraction form
    28,284.66/42,431.58 = 9,565.84/x
  3. Step 3: Cross multiply
    28,284.66x = 42,431.58 × 9,565.84
  4. Step 4: Simplify right side
    28,284.66x = 405,893,599.15
  5. Step 5: Solve for x
    x = 405,893,599.15/28,284.66
  6. Step 6: Final answer
    x = 14,350.31

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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.