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Finding the Fourth Proportional to 14,485.69, 21,743.12 and 10,578.25

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Solution

The fourth proportional to 14,485.69, 21,743.12 and 10,578.25 is: 15,878.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,485.69 : 21,743.12 = 10,578.25 : x
  2. Step 2: Convert to fraction form
    14,485.69/21,743.12 = 10,578.25/x
  3. Step 3: Cross multiply
    14,485.69x = 21,743.12 × 10,578.25
  4. Step 4: Simplify right side
    14,485.69x = 230,004,159.14
  5. Step 5: Solve for x
    x = 230,004,159.14/14,485.69
  6. Step 6: Final answer
    x = 15,878.03

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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.