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Finding the Fourth Proportional to 14,644.90, 21,967.35 and 4,114.90

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Solution

The fourth proportional to 14,644.90, 21,967.35 and 4,114.90 is: 6,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.90 : 21,967.35 = 4,114.90 : x
  2. Step 2: Convert to fraction form
    14,644.90/21,967.35 = 4,114.90/x
  3. Step 3: Cross multiply
    14,644.90x = 21,967.35 × 4,114.90
  4. Step 4: Simplify right side
    14,644.90x = 90,393,448.52
  5. Step 5: Solve for x
    x = 90,393,448.52/14,644.90
  6. Step 6: Final answer
    x = 6,172.35

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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.