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Finding the Fourth Proportional to 16,409.40, 24,617.70 and 5,314.20

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Solution

The fourth proportional to 16,409.40, 24,617.70 and 5,314.20 is: 7,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.40 : 24,617.70 = 5,314.20 : x
  2. Step 2: Convert to fraction form
    16,409.40/24,617.70 = 5,314.20/x
  3. Step 3: Cross multiply
    16,409.40x = 24,617.70 × 5,314.20
  4. Step 4: Simplify right side
    16,409.40x = 130,823,381.34
  5. Step 5: Solve for x
    x = 130,823,381.34/16,409.40
  6. Step 6: Final answer
    x = 7,972.47

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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.