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Finding the Fourth Proportional to 18,937.64, 28,405.56 and 6,457.16

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Solution

The fourth proportional to 18,937.64, 28,405.56 and 6,457.16 is: 9,685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,937.64 : 28,405.56 = 6,457.16 : x
  2. Step 2: Convert to fraction form
    18,937.64/28,405.56 = 6,457.16/x
  3. Step 3: Cross multiply
    18,937.64x = 28,405.56 × 6,457.16
  4. Step 4: Simplify right side
    18,937.64x = 183,419,245.81
  5. Step 5: Solve for x
    x = 183,419,245.81/18,937.64
  6. Step 6: Final answer
    x = 9,685.43

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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.