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Finding the Fourth Proportional to 14,492.14, 21,739.74 and 4,629.10

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Solution

The fourth proportional to 14,492.14, 21,739.74 and 4,629.10 is: 6,944.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492.14 : 21,739.74 = 4,629.10 : x
  2. Step 2: Convert to fraction form
    14,492.14/21,739.74 = 4,629.10/x
  3. Step 3: Cross multiply
    14,492.14x = 21,739.74 × 4,629.10
  4. Step 4: Simplify right side
    14,492.14x = 100,635,430.43
  5. Step 5: Solve for x
    x = 100,635,430.43/14,492.14
  6. Step 6: Final answer
    x = 6,944.14

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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.