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Finding the Fourth Proportional to 12,176.06, 16,803.72 and 7,138.44

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Solution

The fourth proportional to 12,176.06, 16,803.72 and 7,138.44 is: 9,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.06 : 16,803.72 = 7,138.44 : x
  2. Step 2: Convert to fraction form
    12,176.06/16,803.72 = 7,138.44/x
  3. Step 3: Cross multiply
    12,176.06x = 16,803.72 × 7,138.44
  4. Step 4: Simplify right side
    12,176.06x = 119,952,347.00
  5. Step 5: Solve for x
    x = 119,952,347.00/12,176.06
  6. Step 6: Final answer
    x = 9,851.50

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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.