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Finding the Fourth Proportional to 13,000.50, 19,502.76 and 4,233.36

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Solution

The fourth proportional to 13,000.50, 19,502.76 and 4,233.36 is: 6,350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000.50 : 19,502.76 = 4,233.36 : x
  2. Step 2: Convert to fraction form
    13,000.50/19,502.76 = 4,233.36/x
  3. Step 3: Cross multiply
    13,000.50x = 19,502.76 × 4,233.36
  4. Step 4: Simplify right side
    13,000.50x = 82,562,204.07
  5. Step 5: Solve for x
    x = 82,562,204.07/13,000.50
  6. Step 6: Final answer
    x = 6,350.69

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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.