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Finding the Fourth Proportional to 17,407.72, 26,095.74 and 6,309.64

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Solution

The fourth proportional to 17,407.72, 26,095.74 and 6,309.64 is: 9,458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.72 : 26,095.74 = 6,309.64 : x
  2. Step 2: Convert to fraction form
    17,407.72/26,095.74 = 6,309.64/x
  3. Step 3: Cross multiply
    17,407.72x = 26,095.74 × 6,309.64
  4. Step 4: Simplify right side
    17,407.72x = 164,654,724.93
  5. Step 5: Solve for x
    x = 164,654,724.93/17,407.72
  6. Step 6: Final answer
    x = 9,458.72

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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.