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Finding the Fourth Proportional to 14,429.28, 21,636.18 and 7,406.40

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Solution

The fourth proportional to 14,429.28, 21,636.18 and 7,406.40 is: 11,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,429.28 : 21,636.18 = 7,406.40 : x
  2. Step 2: Convert to fraction form
    14,429.28/21,636.18 = 7,406.40/x
  3. Step 3: Cross multiply
    14,429.28x = 21,636.18 × 7,406.40
  4. Step 4: Simplify right side
    14,429.28x = 160,246,203.55
  5. Step 5: Solve for x
    x = 160,246,203.55/14,429.28
  6. Step 6: Final answer
    x = 11,105.63

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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.