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Finding the Fourth Proportional to 13,913.25, 19,200.29 and 7,625.49

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Solution

The fourth proportional to 13,913.25, 19,200.29 and 7,625.49 is: 10,523.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.25 : 19,200.29 = 7,625.49 : x
  2. Step 2: Convert to fraction form
    13,913.25/19,200.29 = 7,625.49/x
  3. Step 3: Cross multiply
    13,913.25x = 19,200.29 × 7,625.49
  4. Step 4: Simplify right side
    13,913.25x = 146,411,581.26
  5. Step 5: Solve for x
    x = 146,411,581.26/13,913.25
  6. Step 6: Final answer
    x = 10,523.18

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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.