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Finding the Fourth Proportional to 14,102.94, 21,155.47 and 4,742.99

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Solution

The fourth proportional to 14,102.94, 21,155.47 and 4,742.99 is: 7,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.94 : 21,155.47 = 4,742.99 : x
  2. Step 2: Convert to fraction form
    14,102.94/21,155.47 = 4,742.99/x
  3. Step 3: Cross multiply
    14,102.94x = 21,155.47 × 4,742.99
  4. Step 4: Simplify right side
    14,102.94x = 100,340,076.88
  5. Step 5: Solve for x
    x = 100,340,076.88/14,102.94
  6. Step 6: Final answer
    x = 7,114.83

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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.