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Finding the Fourth Proportional to 14,507.87, 20,019.35 and 8,539.19

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Solution

The fourth proportional to 14,507.87, 20,019.35 and 8,539.19 is: 11,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.87 : 20,019.35 = 8,539.19 : x
  2. Step 2: Convert to fraction form
    14,507.87/20,019.35 = 8,539.19/x
  3. Step 3: Cross multiply
    14,507.87x = 20,019.35 × 8,539.19
  4. Step 4: Simplify right side
    14,507.87x = 170,948,954.58
  5. Step 5: Solve for x
    x = 170,948,954.58/14,507.87
  6. Step 6: Final answer
    x = 11,783.19

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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.