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Finding the Fourth Proportional to 12,771.90, 19,157.84 and 4,007.50

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Solution

The fourth proportional to 12,771.90, 19,157.84 and 4,007.50 is: 6,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.90 : 19,157.84 = 4,007.50 : x
  2. Step 2: Convert to fraction form
    12,771.90/19,157.84 = 4,007.50/x
  3. Step 3: Cross multiply
    12,771.90x = 19,157.84 × 4,007.50
  4. Step 4: Simplify right side
    12,771.90x = 76,775,062.74
  5. Step 5: Solve for x
    x = 76,775,062.74/12,771.90
  6. Step 6: Final answer
    x = 6,011.25

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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.