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Finding the Fourth Proportional to 25,822.62, 35,647.02 and 19,852.20

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Solution

The fourth proportional to 25,822.62, 35,647.02 and 19,852.20 is: 27,405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,822.62 : 35,647.02 = 19,852.20 : x
  2. Step 2: Convert to fraction form
    25,822.62/35,647.02 = 19,852.20/x
  3. Step 3: Cross multiply
    25,822.62x = 35,647.02 × 19,852.20
  4. Step 4: Simplify right side
    25,822.62x = 707,671,770.44
  5. Step 5: Solve for x
    x = 707,671,770.44/25,822.62
  6. Step 6: Final answer
    x = 27,405.11

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1.5x scale

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.