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Finding the Fourth Proportional to 16,730.47, 23,089.17 and 9,657.37

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Solution

The fourth proportional to 16,730.47, 23,089.17 and 9,657.37 is: 13,327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,730.47 : 23,089.17 = 9,657.37 : x
  2. Step 2: Convert to fraction form
    16,730.47/23,089.17 = 9,657.37/x
  3. Step 3: Cross multiply
    16,730.47x = 23,089.17 × 9,657.37
  4. Step 4: Simplify right side
    16,730.47x = 222,980,657.68
  5. Step 5: Solve for x
    x = 222,980,657.68/16,730.47
  6. Step 6: Final answer
    x = 13,327.82

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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.