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Finding the Fourth Proportional to 19,858.95, 29,743.06 and 9,477.99

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Solution

The fourth proportional to 19,858.95, 29,743.06 and 9,477.99 is: 14,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,858.95 : 29,743.06 = 9,477.99 : x
  2. Step 2: Convert to fraction form
    19,858.95/29,743.06 = 9,477.99/x
  3. Step 3: Cross multiply
    19,858.95x = 29,743.06 × 9,477.99
  4. Step 4: Simplify right side
    19,858.95x = 281,904,425.25
  5. Step 5: Solve for x
    x = 281,904,425.25/19,858.95
  6. Step 6: Final answer
    x = 14,195.33

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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.