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Finding the Fourth Proportional to 14,490, 21,738.72 and 4,101.72

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Solution

The fourth proportional to 14,490, 21,738.72 and 4,101.72 is: 6,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,490 : 21,738.72 = 4,101.72 : x
  2. Step 2: Convert to fraction form
    14,490/21,738.72 = 4,101.72/x
  3. Step 3: Cross multiply
    14,490x = 21,738.72 × 4,101.72
  4. Step 4: Simplify right side
    14,490x = 89,166,142.60
  5. Step 5: Solve for x
    x = 89,166,142.60/14,490
  6. Step 6: Final answer
    x = 6,153.63

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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.