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Finding the Fourth Proportional to 22,308.60, 33,458.10 and 9,828.60

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Solution

The fourth proportional to 22,308.60, 33,458.10 and 9,828.60 is: 14,740.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,308.60 : 33,458.10 = 9,828.60 : x
  2. Step 2: Convert to fraction form
    22,308.60/33,458.10 = 9,828.60/x
  3. Step 3: Cross multiply
    22,308.60x = 33,458.10 × 9,828.60
  4. Step 4: Simplify right side
    22,308.60x = 328,846,281.66
  5. Step 5: Solve for x
    x = 328,846,281.66/22,308.60
  6. Step 6: Final answer
    x = 14,740.79

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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.