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Finding the Fourth Proportional to 16,001.19, 22,085.60 and 9,718.83

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Solution

The fourth proportional to 16,001.19, 22,085.60 and 9,718.83 is: 13,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,001.19 : 22,085.60 = 9,718.83 : x
  2. Step 2: Convert to fraction form
    16,001.19/22,085.60 = 9,718.83/x
  3. Step 3: Cross multiply
    16,001.19x = 22,085.60 × 9,718.83
  4. Step 4: Simplify right side
    16,001.19x = 214,646,143.25
  5. Step 5: Solve for x
    x = 214,646,143.25/16,001.19
  6. Step 6: Final answer
    x = 13,414.39

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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.