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Finding the Fourth Proportional to 28,005.77, 42,008.52 and 8,284.43

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Solution

The fourth proportional to 28,005.77, 42,008.52 and 8,284.43 is: 12,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,005.77 : 42,008.52 = 8,284.43 : x
  2. Step 2: Convert to fraction form
    28,005.77/42,008.52 = 8,284.43/x
  3. Step 3: Cross multiply
    28,005.77x = 42,008.52 × 8,284.43
  4. Step 4: Simplify right side
    28,005.77x = 348,016,643.34
  5. Step 5: Solve for x
    x = 348,016,643.34/28,005.77
  6. Step 6: Final answer
    x = 12,426.61

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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.