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Finding the Fourth Proportional to 12,783.18, 19,177.19 and 4,991.50

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Solution

The fourth proportional to 12,783.18, 19,177.19 and 4,991.50 is: 7,488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.18 : 19,177.19 = 4,991.50 : x
  2. Step 2: Convert to fraction form
    12,783.18/19,177.19 = 4,991.50/x
  3. Step 3: Cross multiply
    12,783.18x = 19,177.19 × 4,991.50
  4. Step 4: Simplify right side
    12,783.18x = 95,722,943.89
  5. Step 5: Solve for x
    x = 95,722,943.89/12,783.18
  6. Step 6: Final answer
    x = 7,488.19

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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.