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Finding the Fourth Proportional to 25,949, 35,809.66 and 14,771

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Solution

The fourth proportional to 25,949, 35,809.66 and 14,771 is: 20,384.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,949 : 35,809.66 = 14,771 : x
  2. Step 2: Convert to fraction form
    25,949/35,809.66 = 14,771/x
  3. Step 3: Cross multiply
    25,949x = 35,809.66 × 14,771
  4. Step 4: Simplify right side
    25,949x = 528,944,487.86
  5. Step 5: Solve for x
    x = 528,944,487.86/25,949
  6. Step 6: Final answer
    x = 20,384.00

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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.