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Finding the Fourth Proportional to 12,271.37, 16,929.41 and 8,024.13

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Solution

The fourth proportional to 12,271.37, 16,929.41 and 8,024.13 is: 11,069.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.37 : 16,929.41 = 8,024.13 : x
  2. Step 2: Convert to fraction form
    12,271.37/16,929.41 = 8,024.13/x
  3. Step 3: Cross multiply
    12,271.37x = 16,929.41 × 8,024.13
  4. Step 4: Simplify right side
    12,271.37x = 135,843,746.54
  5. Step 5: Solve for x
    x = 135,843,746.54/12,271.37
  6. Step 6: Final answer
    x = 11,069.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.