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Finding the Fourth Proportional to 16,116.78, 22,240.80 and 8,946.28

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Solution

The fourth proportional to 16,116.78, 22,240.80 and 8,946.28 is: 12,345.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116.78 : 22,240.80 = 8,946.28 : x
  2. Step 2: Convert to fraction form
    16,116.78/22,240.80 = 8,946.28/x
  3. Step 3: Cross multiply
    16,116.78x = 22,240.80 × 8,946.28
  4. Step 4: Simplify right side
    16,116.78x = 198,972,402.17
  5. Step 5: Solve for x
    x = 198,972,402.17/16,116.78
  6. Step 6: Final answer
    x = 12,345.67

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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.