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Finding the Fourth Proportional to 25,708, 35,477.10 and 14,530

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Solution

The fourth proportional to 25,708, 35,477.10 and 14,530 is: 20,051.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,708 : 35,477.10 = 14,530 : x
  2. Step 2: Convert to fraction form
    25,708/35,477.10 = 14,530/x
  3. Step 3: Cross multiply
    25,708x = 35,477.10 × 14,530
  4. Step 4: Simplify right side
    25,708x = 515,482,263
  5. Step 5: Solve for x
    x = 515,482,263/25,708
  6. Step 6: Final answer
    x = 20,051.43

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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.