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Finding the Fourth Proportional to 23,914.10, 35,826.12 and 14,024

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Solution

The fourth proportional to 23,914.10, 35,826.12 and 14,024 is: 21,009.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,914.10 : 35,826.12 = 14,024 : x
  2. Step 2: Convert to fraction form
    23,914.10/35,826.12 = 14,024/x
  3. Step 3: Cross multiply
    23,914.10x = 35,826.12 × 14,024
  4. Step 4: Simplify right side
    23,914.10x = 502,425,506.88
  5. Step 5: Solve for x
    x = 502,425,506.88/23,914.10
  6. Step 6: Final answer
    x = 21,009.59

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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.