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Finding the Fourth Proportional to 16,146.78, 24,220.16 and 4,460.00

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Solution

The fourth proportional to 16,146.78, 24,220.16 and 4,460.00 is: 6,689.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146.78 : 24,220.16 = 4,460.00 : x
  2. Step 2: Convert to fraction form
    16,146.78/24,220.16 = 4,460.00/x
  3. Step 3: Cross multiply
    16,146.78x = 24,220.16 × 4,460.00
  4. Step 4: Simplify right side
    16,146.78x = 108,021,786.92
  5. Step 5: Solve for x
    x = 108,021,786.92/16,146.78
  6. Step 6: Final answer
    x = 6,689.99

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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.