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Finding the Fourth Proportional to 13,635.27, 20,465.01 and 7,065.90

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Solution

The fourth proportional to 13,635.27, 20,465.01 and 7,065.90 is: 10,605.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635.27 : 20,465.01 = 7,065.90 : x
  2. Step 2: Convert to fraction form
    13,635.27/20,465.01 = 7,065.90/x
  3. Step 3: Cross multiply
    13,635.27x = 20,465.01 × 7,065.90
  4. Step 4: Simplify right side
    13,635.27x = 144,603,714.16
  5. Step 5: Solve for x
    x = 144,603,714.16/13,635.27
  6. Step 6: Final answer
    x = 10,605.12

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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.