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Finding the Fourth Proportional to 25,741.68, 35,523.18 and 14,563.68

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Solution

The fourth proportional to 25,741.68, 35,523.18 and 14,563.68 is: 20,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,741.68 : 35,523.18 = 14,563.68 : x
  2. Step 2: Convert to fraction form
    25,741.68/35,523.18 = 14,563.68/x
  3. Step 3: Cross multiply
    25,741.68x = 35,523.18 × 14,563.68
  4. Step 4: Simplify right side
    25,741.68x = 517,348,226.10
  5. Step 5: Solve for x
    x = 517,348,226.10/25,741.68
  6. Step 6: Final answer
    x = 20,097.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.