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Finding the Fourth Proportional to 28,382.74, 42,573.65 and 9,675.81

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Solution

The fourth proportional to 28,382.74, 42,573.65 and 9,675.81 is: 14,513.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,382.74 : 42,573.65 = 9,675.81 : x
  2. Step 2: Convert to fraction form
    28,382.74/42,573.65 = 9,675.81/x
  3. Step 3: Cross multiply
    28,382.74x = 42,573.65 × 9,675.81
  4. Step 4: Simplify right side
    28,382.74x = 411,934,548.41
  5. Step 5: Solve for x
    x = 411,934,548.41/28,382.74
  6. Step 6: Final answer
    x = 14,513.56

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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.