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Finding the Fourth Proportional to 14,388.51, 21,578.50 and 6,486.47

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Solution

The fourth proportional to 14,388.51, 21,578.50 and 6,486.47 is: 9,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,388.51 : 21,578.50 = 6,486.47 : x
  2. Step 2: Convert to fraction form
    14,388.51/21,578.50 = 6,486.47/x
  3. Step 3: Cross multiply
    14,388.51x = 21,578.50 × 6,486.47
  4. Step 4: Simplify right side
    14,388.51x = 139,968,292.90
  5. Step 5: Solve for x
    x = 139,968,292.90/14,388.51
  6. Step 6: Final answer
    x = 9,727.78

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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.