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Finding the Fourth Proportional to 14,643.46, 21,962.80 and 4,114.20

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Solution

The fourth proportional to 14,643.46, 21,962.80 and 4,114.20 is: 6,170.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.46 : 21,962.80 = 4,114.20 : x
  2. Step 2: Convert to fraction form
    14,643.46/21,962.80 = 4,114.20/x
  3. Step 3: Cross multiply
    14,643.46x = 21,962.80 × 4,114.20
  4. Step 4: Simplify right side
    14,643.46x = 90,359,351.76
  5. Step 5: Solve for x
    x = 90,359,351.76/14,643.46
  6. Step 6: Final answer
    x = 6,170.63

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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.