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Finding the Fourth Proportional to 23,662.30, 32,653.76 and 13,052.02

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Solution

The fourth proportional to 23,662.30, 32,653.76 and 13,052.02 is: 18,011.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,662.30 : 32,653.76 = 13,052.02 : x
  2. Step 2: Convert to fraction form
    23,662.30/32,653.76 = 13,052.02/x
  3. Step 3: Cross multiply
    23,662.30x = 32,653.76 × 13,052.02
  4. Step 4: Simplify right side
    23,662.30x = 426,197,528.60
  5. Step 5: Solve for x
    x = 426,197,528.60/23,662.30
  6. Step 6: Final answer
    x = 18,011.67

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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.