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Finding the Fourth Proportional to 17,665.67, 26,482.17 and 7,664.06

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Solution

The fourth proportional to 17,665.67, 26,482.17 and 7,664.06 is: 11,489.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,665.67 : 26,482.17 = 7,664.06 : x
  2. Step 2: Convert to fraction form
    17,665.67/26,482.17 = 7,664.06/x
  3. Step 3: Cross multiply
    17,665.67x = 26,482.17 × 7,664.06
  4. Step 4: Simplify right side
    17,665.67x = 202,960,939.81
  5. Step 5: Solve for x
    x = 202,960,939.81/17,665.67
  6. Step 6: Final answer
    x = 11,489.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.