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Finding the Fourth Proportional to 13,347.72, 19,978.02 and 9,836.28

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Solution

The fourth proportional to 13,347.72, 19,978.02 and 9,836.28 is: 14,722.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,347.72 : 19,978.02 = 9,836.28 : x
  2. Step 2: Convert to fraction form
    13,347.72/19,978.02 = 9,836.28/x
  3. Step 3: Cross multiply
    13,347.72x = 19,978.02 × 9,836.28
  4. Step 4: Simplify right side
    13,347.72x = 196,509,398.57
  5. Step 5: Solve for x
    x = 196,509,398.57/13,347.72
  6. Step 6: Final answer
    x = 14,722.32

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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.