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Finding the Fourth Proportional to 19,229.28, 28,826.10 and 9,848.64

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Solution

The fourth proportional to 19,229.28, 28,826.10 and 9,848.64 is: 14,763.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,229.28 : 28,826.10 = 9,848.64 : x
  2. Step 2: Convert to fraction form
    19,229.28/28,826.10 = 9,848.64/x
  3. Step 3: Cross multiply
    19,229.28x = 28,826.10 × 9,848.64
  4. Step 4: Simplify right side
    19,229.28x = 283,897,881.50
  5. Step 5: Solve for x
    x = 283,897,881.50/19,229.28
  6. Step 6: Final answer
    x = 14,763.83

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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.