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Finding the Fourth Proportional to 14,609.40, 21,919.21 and 7,219.06

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Solution

The fourth proportional to 14,609.40, 21,919.21 and 7,219.06 is: 10,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.40 : 21,919.21 = 7,219.06 : x
  2. Step 2: Convert to fraction form
    14,609.40/21,919.21 = 7,219.06/x
  3. Step 3: Cross multiply
    14,609.40x = 21,919.21 × 7,219.06
  4. Step 4: Simplify right side
    14,609.40x = 158,236,019.30
  5. Step 5: Solve for x
    x = 158,236,019.30/14,609.40
  6. Step 6: Final answer
    x = 10,831.11

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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.