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Finding the Fourth Proportional to 12,176.52, 16,803.36 and 7,984.50

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Solution

The fourth proportional to 12,176.52, 16,803.36 and 7,984.50 is: 11,018.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.52 : 16,803.36 = 7,984.50 : x
  2. Step 2: Convert to fraction form
    12,176.52/16,803.36 = 7,984.50/x
  3. Step 3: Cross multiply
    12,176.52x = 16,803.36 × 7,984.50
  4. Step 4: Simplify right side
    12,176.52x = 134,166,427.92
  5. Step 5: Solve for x
    x = 134,166,427.92/12,176.52
  6. Step 6: Final answer
    x = 11,018.45

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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.