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Finding the Fourth Proportional to 17,588.40, 26,394.66 and 7,730.64

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Solution

The fourth proportional to 17,588.40, 26,394.66 and 7,730.64 is: 11,601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,588.40 : 26,394.66 = 7,730.64 : x
  2. Step 2: Convert to fraction form
    17,588.40/26,394.66 = 7,730.64/x
  3. Step 3: Cross multiply
    17,588.40x = 26,394.66 × 7,730.64
  4. Step 4: Simplify right side
    17,588.40x = 204,047,614.38
  5. Step 5: Solve for x
    x = 204,047,614.38/17,588.40
  6. Step 6: Final answer
    x = 11,601.26

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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.