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Finding the Fourth Proportional to 13,495.09, 20,249.93 and 6,569.59

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Solution

The fourth proportional to 13,495.09, 20,249.93 and 6,569.59 is: 9,857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,495.09 : 20,249.93 = 6,569.59 : x
  2. Step 2: Convert to fraction form
    13,495.09/20,249.93 = 6,569.59/x
  3. Step 3: Cross multiply
    13,495.09x = 20,249.93 × 6,569.59
  4. Step 4: Simplify right side
    13,495.09x = 133,033,737.63
  5. Step 5: Solve for x
    x = 133,033,737.63/13,495.09
  6. Step 6: Final answer
    x = 9,857.94

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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.