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Finding the Fourth Proportional to 14,507.19, 20,019.92 and 8,219.57

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Solution

The fourth proportional to 14,507.19, 20,019.92 and 8,219.57 is: 11,343.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.19 : 20,019.92 = 8,219.57 : x
  2. Step 2: Convert to fraction form
    14,507.19/20,019.92 = 8,219.57/x
  3. Step 3: Cross multiply
    14,507.19x = 20,019.92 × 8,219.57
  4. Step 4: Simplify right side
    14,507.19x = 164,554,992.64
  5. Step 5: Solve for x
    x = 164,554,992.64/14,507.19
  6. Step 6: Final answer
    x = 11,343.00

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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.