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Finding the Fourth Proportional to 13,484.64, 20,219.64 and 7,252.08

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Solution

The fourth proportional to 13,484.64, 20,219.64 and 7,252.08 is: 10,874.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,484.64 : 20,219.64 = 7,252.08 : x
  2. Step 2: Convert to fraction form
    13,484.64/20,219.64 = 7,252.08/x
  3. Step 3: Cross multiply
    13,484.64x = 20,219.64 × 7,252.08
  4. Step 4: Simplify right side
    13,484.64x = 146,634,446.85
  5. Step 5: Solve for x
    x = 146,634,446.85/13,484.64
  6. Step 6: Final answer
    x = 10,874.18

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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.