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Finding the Fourth Proportional to 19,271.31, 28,907.04 and 5,420.31

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Solution

The fourth proportional to 19,271.31, 28,907.04 and 5,420.31 is: 8,130.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,271.31 : 28,907.04 = 5,420.31 : x
  2. Step 2: Convert to fraction form
    19,271.31/28,907.04 = 5,420.31/x
  3. Step 3: Cross multiply
    19,271.31x = 28,907.04 × 5,420.31
  4. Step 4: Simplify right side
    19,271.31x = 156,685,117.98
  5. Step 5: Solve for x
    x = 156,685,117.98/19,271.31
  6. Step 6: Final answer
    x = 8,130.49

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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.