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Finding the Fourth Proportional to 13,465.87, 20,207.45 and 6,536.59

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Solution

The fourth proportional to 13,465.87, 20,207.45 and 6,536.59 is: 9,809.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.87 : 20,207.45 = 6,536.59 : x
  2. Step 2: Convert to fraction form
    13,465.87/20,207.45 = 6,536.59/x
  3. Step 3: Cross multiply
    13,465.87x = 20,207.45 × 6,536.59
  4. Step 4: Simplify right side
    13,465.87x = 132,087,815.60
  5. Step 5: Solve for x
    x = 132,087,815.60/13,465.87
  6. Step 6: Final answer
    x = 9,809.08

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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.