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Finding the Fourth Proportional to 12,108.64, 16,754.16 and 10,541.92

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Solution

The fourth proportional to 12,108.64, 16,754.16 and 10,541.92 is: 14,586.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,108.64 : 16,754.16 = 10,541.92 : x
  2. Step 2: Convert to fraction form
    12,108.64/16,754.16 = 10,541.92/x
  3. Step 3: Cross multiply
    12,108.64x = 16,754.16 × 10,541.92
  4. Step 4: Simplify right side
    12,108.64x = 176,621,014.39
  5. Step 5: Solve for x
    x = 176,621,014.39/12,108.64
  6. Step 6: Final answer
    x = 14,586.36

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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.