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Finding the Fourth Proportional to 13,000, 19,502.03 and 4,232.85

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Solution

The fourth proportional to 13,000, 19,502.03 and 4,232.85 is: 6,349.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,000 : 19,502.03 = 4,232.85 : x
  2. Step 2: Convert to fraction form
    13,000/19,502.03 = 4,232.85/x
  3. Step 3: Cross multiply
    13,000x = 19,502.03 × 4,232.85
  4. Step 4: Simplify right side
    13,000x = 82,549,167.69
  5. Step 5: Solve for x
    x = 82,549,167.69/13,000
  6. Step 6: Final answer
    x = 6,349.94

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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.