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Finding the Fourth Proportional to 19,114.50, 28,670.73 and 5,965.36

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Solution

The fourth proportional to 19,114.50, 28,670.73 and 5,965.36 is: 8,947.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,114.50 : 28,670.73 = 5,965.36 : x
  2. Step 2: Convert to fraction form
    19,114.50/28,670.73 = 5,965.36/x
  3. Step 3: Cross multiply
    19,114.50x = 28,670.73 × 5,965.36
  4. Step 4: Simplify right side
    19,114.50x = 171,031,225.91
  5. Step 5: Solve for x
    x = 171,031,225.91/19,114.50
  6. Step 6: Final answer
    x = 8,947.72

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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.