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Finding the Fourth Proportional to 19,076.50, 28,605.03 and 7,980.18

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Solution

The fourth proportional to 19,076.50, 28,605.03 and 7,980.18 is: 11,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,076.50 : 28,605.03 = 7,980.18 : x
  2. Step 2: Convert to fraction form
    19,076.50/28,605.03 = 7,980.18/x
  3. Step 3: Cross multiply
    19,076.50x = 28,605.03 × 7,980.18
  4. Step 4: Simplify right side
    19,076.50x = 228,273,288.31
  5. Step 5: Solve for x
    x = 228,273,288.31/19,076.50
  6. Step 6: Final answer
    x = 11,966.20

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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.