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Finding the Fourth Proportional to 13,919.76, 19,209.47 and 7,632

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Solution

The fourth proportional to 13,919.76, 19,209.47 and 7,632 is: 10,532.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,919.76 : 19,209.47 = 7,632 : x
  2. Step 2: Convert to fraction form
    13,919.76/19,209.47 = 7,632/x
  3. Step 3: Cross multiply
    13,919.76x = 19,209.47 × 7,632
  4. Step 4: Simplify right side
    13,919.76x = 146,606,636.88
  5. Step 5: Solve for x
    x = 146,606,636.88/13,919.76
  6. Step 6: Final answer
    x = 10,532.27

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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.