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Finding the Fourth Proportional to 17,374.61, 23,976.95 and 9,416.84

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Solution

The fourth proportional to 17,374.61, 23,976.95 and 9,416.84 is: 12,995.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,374.61 : 23,976.95 = 9,416.84 : x
  2. Step 2: Convert to fraction form
    17,374.61/23,976.95 = 9,416.84/x
  3. Step 3: Cross multiply
    17,374.61x = 23,976.95 × 9,416.84
  4. Step 4: Simplify right side
    17,374.61x = 225,787,005.50
  5. Step 5: Solve for x
    x = 225,787,005.50/17,374.61
  6. Step 6: Final answer
    x = 12,995.23

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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.