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Finding the Fourth Proportional to 25,697.12, 35,465.04 and 14,519.12

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Solution

The fourth proportional to 25,697.12, 35,465.04 and 14,519.12 is: 20,038.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,697.12 : 35,465.04 = 14,519.12 : x
  2. Step 2: Convert to fraction form
    25,697.12/35,465.04 = 14,519.12/x
  3. Step 3: Cross multiply
    25,697.12x = 35,465.04 × 14,519.12
  4. Step 4: Simplify right side
    25,697.12x = 514,921,171.56
  5. Step 5: Solve for x
    x = 514,921,171.56/25,697.12
  6. Step 6: Final answer
    x = 20,038.09

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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.