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Finding the Fourth Proportional to 23,152.10, 31,950.99 and 13,080.96

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Solution

The fourth proportional to 23,152.10, 31,950.99 and 13,080.96 is: 18,052.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152.10 : 31,950.99 = 13,080.96 : x
  2. Step 2: Convert to fraction form
    23,152.10/31,950.99 = 13,080.96/x
  3. Step 3: Cross multiply
    23,152.10x = 31,950.99 × 13,080.96
  4. Step 4: Simplify right side
    23,152.10x = 417,949,622.15
  5. Step 5: Solve for x
    x = 417,949,622.15/23,152.10
  6. Step 6: Final answer
    x = 18,052.35

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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.