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Finding the Fourth Proportional to 13,633.56, 20,461.26 and 7,061.64

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Solution

The fourth proportional to 13,633.56, 20,461.26 and 7,061.64 is: 10,598.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.56 : 20,461.26 = 7,061.64 : x
  2. Step 2: Convert to fraction form
    13,633.56/20,461.26 = 7,061.64/x
  3. Step 3: Cross multiply
    13,633.56x = 20,461.26 × 7,061.64
  4. Step 4: Simplify right side
    13,633.56x = 144,490,052.07
  5. Step 5: Solve for x
    x = 144,490,052.07/13,633.56
  6. Step 6: Final answer
    x = 10,598.12

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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.