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Finding the Fourth Proportional to 25,784.40, 35,599.62 and 19,805.38

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Solution

The fourth proportional to 25,784.40, 35,599.62 and 19,805.38 is: 27,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,784.40 : 35,599.62 = 19,805.38 : x
  2. Step 2: Convert to fraction form
    25,784.40/35,599.62 = 19,805.38/x
  3. Step 3: Cross multiply
    25,784.40x = 35,599.62 × 19,805.38
  4. Step 4: Simplify right side
    25,784.40x = 705,064,001.96
  5. Step 5: Solve for x
    x = 705,064,001.96/25,784.40
  6. Step 6: Final answer
    x = 27,344.60

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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.