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Finding the Fourth Proportional to 25,412.64, 35,066.16 and 14,234.64

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Solution

The fourth proportional to 25,412.64, 35,066.16 and 14,234.64 is: 19,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,412.64 : 35,066.16 = 14,234.64 : x
  2. Step 2: Convert to fraction form
    25,412.64/35,066.16 = 14,234.64/x
  3. Step 3: Cross multiply
    25,412.64x = 35,066.16 × 14,234.64
  4. Step 4: Simplify right side
    25,412.64x = 499,154,163.78
  5. Step 5: Solve for x
    x = 499,154,163.78/25,412.64
  6. Step 6: Final answer
    x = 19,641.96

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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.