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Finding the Fourth Proportional to 23,065.92, 31,826.80 and 14,984.24

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Solution

The fourth proportional to 23,065.92, 31,826.80 and 14,984.24 is: 20,675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,065.92 : 31,826.80 = 14,984.24 : x
  2. Step 2: Convert to fraction form
    23,065.92/31,826.80 = 14,984.24/x
  3. Step 3: Cross multiply
    23,065.92x = 31,826.80 × 14,984.24
  4. Step 4: Simplify right side
    23,065.92x = 476,900,409.63
  5. Step 5: Solve for x
    x = 476,900,409.63/23,065.92
  6. Step 6: Final answer
    x = 20,675.54

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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.