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Finding the Fourth Proportional to 19,775.51, 27,302.95 and 17,647.39

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Solution

The fourth proportional to 19,775.51, 27,302.95 and 17,647.39 is: 24,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775.51 : 27,302.95 = 17,647.39 : x
  2. Step 2: Convert to fraction form
    19,775.51/27,302.95 = 17,647.39/x
  3. Step 3: Cross multiply
    19,775.51x = 27,302.95 × 17,647.39
  4. Step 4: Simplify right side
    19,775.51x = 481,825,582.05
  5. Step 5: Solve for x
    x = 481,825,582.05/19,775.51
  6. Step 6: Final answer
    x = 24,364.76

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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.