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Finding the Fourth Proportional to 12,578.48, 17,362.32 and 8,598.16

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Solution

The fourth proportional to 12,578.48, 17,362.32 and 8,598.16 is: 11,868.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.48 : 17,362.32 = 8,598.16 : x
  2. Step 2: Convert to fraction form
    12,578.48/17,362.32 = 8,598.16/x
  3. Step 3: Cross multiply
    12,578.48x = 17,362.32 × 8,598.16
  4. Step 4: Simplify right side
    12,578.48x = 149,284,005.33
  5. Step 5: Solve for x
    x = 149,284,005.33/12,578.48
  6. Step 6: Final answer
    x = 11,868.21

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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.