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Finding the Fourth Proportional to 25,761, 35,550.18 and 14,583

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Solution

The fourth proportional to 25,761, 35,550.18 and 14,583 is: 20,124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,761 : 35,550.18 = 14,583 : x
  2. Step 2: Convert to fraction form
    25,761/35,550.18 = 14,583/x
  3. Step 3: Cross multiply
    25,761x = 35,550.18 × 14,583
  4. Step 4: Simplify right side
    25,761x = 518,428,274.94
  5. Step 5: Solve for x
    x = 518,428,274.94/25,761
  6. Step 6: Final answer
    x = 20,124.54

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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.