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Finding the Fourth Proportional to 12,678.78, 19,011.90 and 8,002.50

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Solution

The fourth proportional to 12,678.78, 19,011.90 and 8,002.50 is: 11,999.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.78 : 19,011.90 = 8,002.50 : x
  2. Step 2: Convert to fraction form
    12,678.78/19,011.90 = 8,002.50/x
  3. Step 3: Cross multiply
    12,678.78x = 19,011.90 × 8,002.50
  4. Step 4: Simplify right side
    12,678.78x = 152,142,729.75
  5. Step 5: Solve for x
    x = 152,142,729.75/12,678.78
  6. Step 6: Final answer
    x = 11,999.79

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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.