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Finding the Fourth Proportional to 17,407.60, 26,111.36 and 6,314.24

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Solution

The fourth proportional to 17,407.60, 26,111.36 and 6,314.24 is: 9,471.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.60 : 26,111.36 = 6,314.24 : x
  2. Step 2: Convert to fraction form
    17,407.60/26,111.36 = 6,314.24/x
  3. Step 3: Cross multiply
    17,407.60x = 26,111.36 × 6,314.24
  4. Step 4: Simplify right side
    17,407.60x = 164,873,474.83
  5. Step 5: Solve for x
    x = 164,873,474.83/17,407.60
  6. Step 6: Final answer
    x = 9,471.35

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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.