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Finding the Fourth Proportional to 19,271.40, 28,907.90 and 6,123.40

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Solution

The fourth proportional to 19,271.40, 28,907.90 and 6,123.40 is: 9,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,271.40 : 28,907.90 = 6,123.40 : x
  2. Step 2: Convert to fraction form
    19,271.40/28,907.90 = 6,123.40/x
  3. Step 3: Cross multiply
    19,271.40x = 28,907.90 × 6,123.40
  4. Step 4: Simplify right side
    19,271.40x = 177,014,634.86
  5. Step 5: Solve for x
    x = 177,014,634.86/19,271.40
  6. Step 6: Final answer
    x = 9,185.35

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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.