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Finding the Fourth Proportional to 25,568.80, 35,284.06 and 14,388.64

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Solution

The fourth proportional to 25,568.80, 35,284.06 and 14,388.64 is: 19,855.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,568.80 : 35,284.06 = 14,388.64 : x
  2. Step 2: Convert to fraction form
    25,568.80/35,284.06 = 14,388.64/x
  3. Step 3: Cross multiply
    25,568.80x = 35,284.06 × 14,388.64
  4. Step 4: Simplify right side
    25,568.80x = 507,689,637.08
  5. Step 5: Solve for x
    x = 507,689,637.08/25,568.80
  6. Step 6: Final answer
    x = 19,855.83

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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.