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Finding the Fourth Proportional to 13,038, 19,560.24 and 3,804

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Solution

The fourth proportional to 13,038, 19,560.24 and 3,804 is: 5,706.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038 : 19,560.24 = 3,804 : x
  2. Step 2: Convert to fraction form
    13,038/19,560.24 = 3,804/x
  3. Step 3: Cross multiply
    13,038x = 19,560.24 × 3,804
  4. Step 4: Simplify right side
    13,038x = 74,407,152.96
  5. Step 5: Solve for x
    x = 74,407,152.96/13,038
  6. Step 6: Final answer
    x = 5,706.95

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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.