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Finding the Fourth Proportional to 14,632.44, 21,943.14 and 4,769.40

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Solution

The fourth proportional to 14,632.44, 21,943.14 and 4,769.40 is: 7,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,632.44 : 21,943.14 = 4,769.40 : x
  2. Step 2: Convert to fraction form
    14,632.44/21,943.14 = 4,769.40/x
  3. Step 3: Cross multiply
    14,632.44x = 21,943.14 × 4,769.40
  4. Step 4: Simplify right side
    14,632.44x = 104,655,611.92
  5. Step 5: Solve for x
    x = 104,655,611.92/14,632.44
  6. Step 6: Final answer
    x = 7,152.30

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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.