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Finding the Fourth Proportional to 13,585.49, 20,385.15 and 6,571.50

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Solution

The fourth proportional to 13,585.49, 20,385.15 and 6,571.50 is: 9,860.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,585.49 : 20,385.15 = 6,571.50 : x
  2. Step 2: Convert to fraction form
    13,585.49/20,385.15 = 6,571.50/x
  3. Step 3: Cross multiply
    13,585.49x = 20,385.15 × 6,571.50
  4. Step 4: Simplify right side
    13,585.49x = 133,961,013.23
  5. Step 5: Solve for x
    x = 133,961,013.23/13,585.49
  6. Step 6: Final answer
    x = 9,860.59

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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.