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Finding the Fourth Proportional to 13,865.85, 19,133.82 and 7,578.23

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Solution

The fourth proportional to 13,865.85, 19,133.82 and 7,578.23 is: 10,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.85 : 19,133.82 = 7,578.23 : x
  2. Step 2: Convert to fraction form
    13,865.85/19,133.82 = 7,578.23/x
  3. Step 3: Cross multiply
    13,865.85x = 19,133.82 × 7,578.23
  4. Step 4: Simplify right side
    13,865.85x = 145,000,393.07
  5. Step 5: Solve for x
    x = 145,000,393.07/13,865.85
  6. Step 6: Final answer
    x = 10,457.37

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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.