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Finding the Fourth Proportional to 25,597, 35,324.40 and 14,419

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Solution

The fourth proportional to 25,597, 35,324.40 and 14,419 is: 19,898.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,597 : 35,324.40 = 14,419 : x
  2. Step 2: Convert to fraction form
    25,597/35,324.40 = 14,419/x
  3. Step 3: Cross multiply
    25,597x = 35,324.40 × 14,419
  4. Step 4: Simplify right side
    25,597x = 509,342,523.60
  5. Step 5: Solve for x
    x = 509,342,523.60/25,597
  6. Step 6: Final answer
    x = 19,898.52

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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.