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Finding the Fourth Proportional to 16,730.66, 23,088.33 and 9,657.08

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Solution

The fourth proportional to 16,730.66, 23,088.33 and 9,657.08 is: 13,326.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,730.66 : 23,088.33 = 9,657.08 : x
  2. Step 2: Convert to fraction form
    16,730.66/23,088.33 = 9,657.08/x
  3. Step 3: Cross multiply
    16,730.66x = 23,088.33 × 9,657.08
  4. Step 4: Simplify right side
    16,730.66x = 222,965,734.43
  5. Step 5: Solve for x
    x = 222,965,734.43/16,730.66
  6. Step 6: Final answer
    x = 13,326.78

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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.