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Finding the Fourth Proportional to 14,165.28, 19,532.88 and 9,450

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Solution

The fourth proportional to 14,165.28, 19,532.88 and 9,450 is: 13,030.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,165.28 : 19,532.88 = 9,450 : x
  2. Step 2: Convert to fraction form
    14,165.28/19,532.88 = 9,450/x
  3. Step 3: Cross multiply
    14,165.28x = 19,532.88 × 9,450
  4. Step 4: Simplify right side
    14,165.28x = 184,585,716
  5. Step 5: Solve for x
    x = 184,585,716/14,165.28
  6. Step 6: Final answer
    x = 13,030.86

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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.