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Finding the Fourth Proportional to 25,354, 34,990.14 and 14,176

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Solution

The fourth proportional to 25,354, 34,990.14 and 14,176 is: 19,563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,354 : 34,990.14 = 14,176 : x
  2. Step 2: Convert to fraction form
    25,354/34,990.14 = 14,176/x
  3. Step 3: Cross multiply
    25,354x = 34,990.14 × 14,176
  4. Step 4: Simplify right side
    25,354x = 496,020,224.64
  5. Step 5: Solve for x
    x = 496,020,224.64/25,354
  6. Step 6: Final answer
    x = 19,563.79

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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.