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Finding the Fourth Proportional to 16,084.94, 24,017.40 and 14,408.24

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Solution

The fourth proportional to 16,084.94, 24,017.40 and 14,408.24 is: 21,513.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,084.94 : 24,017.40 = 14,408.24 : x
  2. Step 2: Convert to fraction form
    16,084.94/24,017.40 = 14,408.24/x
  3. Step 3: Cross multiply
    16,084.94x = 24,017.40 × 14,408.24
  4. Step 4: Simplify right side
    16,084.94x = 346,048,343.29
  5. Step 5: Solve for x
    x = 346,048,343.29/16,084.94
  6. Step 6: Final answer
    x = 21,513.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.