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Finding the Fourth Proportional to 28,006.34, 42,009.24 and 8,285.28

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Solution

The fourth proportional to 28,006.34, 42,009.24 and 8,285.28 is: 12,427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,006.34 : 42,009.24 = 8,285.28 : x
  2. Step 2: Convert to fraction form
    28,006.34/42,009.24 = 8,285.28/x
  3. Step 3: Cross multiply
    28,006.34x = 42,009.24 × 8,285.28
  4. Step 4: Simplify right side
    28,006.34x = 348,058,315.99
  5. Step 5: Solve for x
    x = 348,058,315.99/28,006.34
  6. Step 6: Final answer
    x = 12,427.84

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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.