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Finding the Fourth Proportional to 13,865.82, 19,133.79 and 7,578.18

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Solution

The fourth proportional to 13,865.82, 19,133.79 and 7,578.18 is: 10,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.82 : 19,133.79 = 7,578.18 : x
  2. Step 2: Convert to fraction form
    13,865.82/19,133.79 = 7,578.18/x
  3. Step 3: Cross multiply
    13,865.82x = 19,133.79 × 7,578.18
  4. Step 4: Simplify right side
    13,865.82x = 144,999,304.70
  5. Step 5: Solve for x
    x = 144,999,304.70/13,865.82
  6. Step 6: Final answer
    x = 10,457.32

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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.