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Finding the Fourth Proportional to 17,024.95, 23,494.85 and 9,471.61

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Solution

The fourth proportional to 17,024.95, 23,494.85 and 9,471.61 is: 13,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,024.95 : 23,494.85 = 9,471.61 : x
  2. Step 2: Convert to fraction form
    17,024.95/23,494.85 = 9,471.61/x
  3. Step 3: Cross multiply
    17,024.95x = 23,494.85 × 9,471.61
  4. Step 4: Simplify right side
    17,024.95x = 222,534,056.21
  5. Step 5: Solve for x
    x = 222,534,056.21/17,024.95
  6. Step 6: Final answer
    x = 13,071.05

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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.