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Finding the Fourth Proportional to 16,802.07, 23,185.76 and 9,631.90

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Solution

The fourth proportional to 16,802.07, 23,185.76 and 9,631.90 is: 13,291.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,802.07 : 23,185.76 = 9,631.90 : x
  2. Step 2: Convert to fraction form
    16,802.07/23,185.76 = 9,631.90/x
  3. Step 3: Cross multiply
    16,802.07x = 23,185.76 × 9,631.90
  4. Step 4: Simplify right side
    16,802.07x = 223,322,826.33
  5. Step 5: Solve for x
    x = 223,322,826.33/16,802.07
  6. Step 6: Final answer
    x = 13,291.39

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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.