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Finding the Fourth Proportional to 19,309.50, 28,958.49 and 7,461.18

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Solution

The fourth proportional to 19,309.50, 28,958.49 and 7,461.18 is: 11,189.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,309.50 : 28,958.49 = 7,461.18 : x
  2. Step 2: Convert to fraction form
    19,309.50/28,958.49 = 7,461.18/x
  3. Step 3: Cross multiply
    19,309.50x = 28,958.49 × 7,461.18
  4. Step 4: Simplify right side
    19,309.50x = 216,064,506.42
  5. Step 5: Solve for x
    x = 216,064,506.42/19,309.50
  6. Step 6: Final answer
    x = 11,189.54

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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.