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Finding the Fourth Proportional to 25,425, 35,088.66 and 14,249.16

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Solution

The fourth proportional to 25,425, 35,088.66 and 14,249.16 is: 19,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,425 : 35,088.66 = 14,249.16 : x
  2. Step 2: Convert to fraction form
    25,425/35,088.66 = 14,249.16/x
  3. Step 3: Cross multiply
    25,425x = 35,088.66 × 14,249.16
  4. Step 4: Simplify right side
    25,425x = 499,983,930.53
  5. Step 5: Solve for x
    x = 499,983,930.53/25,425
  6. Step 6: Final answer
    x = 19,665.05

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Why These Related Problems?

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