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Finding the Fourth Proportional to 16,116.63, 22,240.70 and 8,946.54

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Solution

The fourth proportional to 16,116.63, 22,240.70 and 8,946.54 is: 12,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116.63 : 22,240.70 = 8,946.54 : x
  2. Step 2: Convert to fraction form
    16,116.63/22,240.70 = 8,946.54/x
  3. Step 3: Cross multiply
    16,116.63x = 22,240.70 × 8,946.54
  4. Step 4: Simplify right side
    16,116.63x = 198,977,267.45
  5. Step 5: Solve for x
    x = 198,977,267.45/16,116.63
  6. Step 6: Final answer
    x = 12,346.08

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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.