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Finding the Fourth Proportional to 13,211.57, 19,825.09 and 4,897.46

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Solution

The fourth proportional to 13,211.57, 19,825.09 and 4,897.46 is: 7,349.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.57 : 19,825.09 = 4,897.46 : x
  2. Step 2: Convert to fraction form
    13,211.57/19,825.09 = 4,897.46/x
  3. Step 3: Cross multiply
    13,211.57x = 19,825.09 × 4,897.46
  4. Step 4: Simplify right side
    13,211.57x = 97,092,622.59
  5. Step 5: Solve for x
    x = 97,092,622.59/13,211.57
  6. Step 6: Final answer
    x = 7,349.06

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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.