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Finding the Fourth Proportional to 21,654.94, 32,482.41 and 5,238.94

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Solution

The fourth proportional to 21,654.94, 32,482.41 and 5,238.94 is: 7,858.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,654.94 : 32,482.41 = 5,238.94 : x
  2. Step 2: Convert to fraction form
    21,654.94/32,482.41 = 5,238.94/x
  3. Step 3: Cross multiply
    21,654.94x = 32,482.41 × 5,238.94
  4. Step 4: Simplify right side
    21,654.94x = 170,173,296.19
  5. Step 5: Solve for x
    x = 170,173,296.19/21,654.94
  6. Step 6: Final answer
    x = 7,858.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.