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Finding the Fourth Proportional to 25,880.24, 35,714.04 and 14,702

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Solution

The fourth proportional to 25,880.24, 35,714.04 and 14,702 is: 20,288.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,880.24 : 35,714.04 = 14,702 : x
  2. Step 2: Convert to fraction form
    25,880.24/35,714.04 = 14,702/x
  3. Step 3: Cross multiply
    25,880.24x = 35,714.04 × 14,702
  4. Step 4: Simplify right side
    25,880.24x = 525,067,816.08
  5. Step 5: Solve for x
    x = 525,067,816.08/25,880.24
  6. Step 6: Final answer
    x = 20,288.37

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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.