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Finding the Fourth Proportional to 25,519, 35,216.40 and 14,341

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Solution

The fourth proportional to 25,519, 35,216.40 and 14,341 is: 19,790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,519 : 35,216.40 = 14,341 : x
  2. Step 2: Convert to fraction form
    25,519/35,216.40 = 14,341/x
  3. Step 3: Cross multiply
    25,519x = 35,216.40 × 14,341
  4. Step 4: Simplify right side
    25,519x = 505,038,392.40
  5. Step 5: Solve for x
    x = 505,038,392.40/25,519
  6. Step 6: Final answer
    x = 19,790.68

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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.