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Finding the Fourth Proportional to 19,676.80, 29,534.40 and 9,827.20

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Solution

The fourth proportional to 19,676.80, 29,534.40 and 9,827.20 is: 14,750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676.80 : 29,534.40 = 9,827.20 : x
  2. Step 2: Convert to fraction form
    19,676.80/29,534.40 = 9,827.20/x
  3. Step 3: Cross multiply
    19,676.80x = 29,534.40 × 9,827.20
  4. Step 4: Simplify right side
    19,676.80x = 290,240,455.68
  5. Step 5: Solve for x
    x = 290,240,455.68/19,676.80
  6. Step 6: Final answer
    x = 14,750.39

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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.