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Finding the Fourth Proportional to 13,305.10, 19,963.54 and 7,063.61

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Solution

The fourth proportional to 13,305.10, 19,963.54 and 7,063.61 is: 10,598.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,305.10 : 19,963.54 = 7,063.61 : x
  2. Step 2: Convert to fraction form
    13,305.10/19,963.54 = 7,063.61/x
  3. Step 3: Cross multiply
    13,305.10x = 19,963.54 × 7,063.61
  4. Step 4: Simplify right side
    13,305.10x = 141,014,660.78
  5. Step 5: Solve for x
    x = 141,014,660.78/13,305.10
  6. Step 6: Final answer
    x = 10,598.54

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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.