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Finding the Fourth Proportional to 16,116.13, 22,240 and 8,946.04

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Solution

The fourth proportional to 16,116.13, 22,240 and 8,946.04 is: 12,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,116.13 : 22,240 = 8,946.04 : x
  2. Step 2: Convert to fraction form
    16,116.13/22,240 = 8,946.04/x
  3. Step 3: Cross multiply
    16,116.13x = 22,240 × 8,946.04
  4. Step 4: Simplify right side
    16,116.13x = 198,959,929.60
  5. Step 5: Solve for x
    x = 198,959,929.60/16,116.13
  6. Step 6: Final answer
    x = 12,345.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.