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Finding the Fourth Proportional to 23,814.94, 35,722.71 and 16,417.42

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Solution

The fourth proportional to 23,814.94, 35,722.71 and 16,417.42 is: 24,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,814.94 : 35,722.71 = 16,417.42 : x
  2. Step 2: Convert to fraction form
    23,814.94/35,722.71 = 16,417.42/x
  3. Step 3: Cross multiply
    23,814.94x = 35,722.71 × 16,417.42
  4. Step 4: Simplify right side
    23,814.94x = 586,474,733.61
  5. Step 5: Solve for x
    x = 586,474,733.61/23,814.94
  6. Step 6: Final answer
    x = 24,626.34

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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.