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Finding the Fourth Proportional to 17,804.78, 24,548.26 and 11,420.11

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Solution

The fourth proportional to 17,804.78, 24,548.26 and 11,420.11 is: 15,745.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,804.78 : 24,548.26 = 11,420.11 : x
  2. Step 2: Convert to fraction form
    17,804.78/24,548.26 = 11,420.11/x
  3. Step 3: Cross multiply
    17,804.78x = 24,548.26 × 11,420.11
  4. Step 4: Simplify right side
    17,804.78x = 280,343,829.51
  5. Step 5: Solve for x
    x = 280,343,829.51/17,804.78
  6. Step 6: Final answer
    x = 15,745.43

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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.