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Finding the Fourth Proportional to 30,620.14, 45,930.30 and 9,858.22

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Solution

The fourth proportional to 30,620.14, 45,930.30 and 9,858.22 is: 14,787.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,620.14 : 45,930.30 = 9,858.22 : x
  2. Step 2: Convert to fraction form
    30,620.14/45,930.30 = 9,858.22/x
  3. Step 3: Cross multiply
    30,620.14x = 45,930.30 × 9,858.22
  4. Step 4: Simplify right side
    30,620.14x = 452,791,002.07
  5. Step 5: Solve for x
    x = 452,791,002.07/30,620.14
  6. Step 6: Final answer
    x = 14,787.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.