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Finding the Fourth Proportional to 13,507.65, 20,261.82 and 3,646.89

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Solution

The fourth proportional to 13,507.65, 20,261.82 and 3,646.89 is: 5,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.65 : 20,261.82 = 3,646.89 : x
  2. Step 2: Convert to fraction form
    13,507.65/20,261.82 = 3,646.89/x
  3. Step 3: Cross multiply
    13,507.65x = 20,261.82 × 3,646.89
  4. Step 4: Simplify right side
    13,507.65x = 73,892,628.74
  5. Step 5: Solve for x
    x = 73,892,628.74/13,507.65
  6. Step 6: Final answer
    x = 5,470.43

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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.