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Finding the Fourth Proportional to 23,816.56, 32,866.72 and 13,207.76

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Solution

The fourth proportional to 23,816.56, 32,866.72 and 13,207.76 is: 18,226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816.56 : 32,866.72 = 13,207.76 : x
  2. Step 2: Convert to fraction form
    23,816.56/32,866.72 = 13,207.76/x
  3. Step 3: Cross multiply
    23,816.56x = 32,866.72 × 13,207.76
  4. Step 4: Simplify right side
    23,816.56x = 434,095,749.75
  5. Step 5: Solve for x
    x = 434,095,749.75/23,816.56
  6. Step 6: Final answer
    x = 18,226.64

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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.