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Finding the Fourth Proportional to 28,156.48, 42,229.86 and 8,429.74

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Solution

The fourth proportional to 28,156.48, 42,229.86 and 8,429.74 is: 12,643.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,156.48 : 42,229.86 = 8,429.74 : x
  2. Step 2: Convert to fraction form
    28,156.48/42,229.86 = 8,429.74/x
  3. Step 3: Cross multiply
    28,156.48x = 42,229.86 × 8,429.74
  4. Step 4: Simplify right side
    28,156.48x = 355,986,602.85
  5. Step 5: Solve for x
    x = 355,986,602.85/28,156.48
  6. Step 6: Final answer
    x = 12,643.15

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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.