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Finding the Fourth Proportional to 25,356.60, 34,980.33 and 16,407

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Solution

The fourth proportional to 25,356.60, 34,980.33 and 16,407 is: 22,634.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,356.60 : 34,980.33 = 16,407 : x
  2. Step 2: Convert to fraction form
    25,356.60/34,980.33 = 16,407/x
  3. Step 3: Cross multiply
    25,356.60x = 34,980.33 × 16,407
  4. Step 4: Simplify right side
    25,356.60x = 573,922,274.31
  5. Step 5: Solve for x
    x = 573,922,274.31/25,356.60
  6. Step 6: Final answer
    x = 22,634.04

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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.