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Finding the Fourth Proportional to 28,013.72, 42,007.74 and 8,285.24

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Solution

The fourth proportional to 28,013.72, 42,007.74 and 8,285.24 is: 12,424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,013.72 : 42,007.74 = 8,285.24 : x
  2. Step 2: Convert to fraction form
    28,013.72/42,007.74 = 8,285.24/x
  3. Step 3: Cross multiply
    28,013.72x = 42,007.74 × 8,285.24
  4. Step 4: Simplify right side
    28,013.72x = 348,044,207.76
  5. Step 5: Solve for x
    x = 348,044,207.76/28,013.72
  6. Step 6: Final answer
    x = 12,424.06

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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.