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Finding the Fourth Proportional to 20,315.20, 30,458.40 and 7,830.40

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Solution

The fourth proportional to 20,315.20, 30,458.40 and 7,830.40 is: 11,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,315.20 : 30,458.40 = 7,830.40 : x
  2. Step 2: Convert to fraction form
    20,315.20/30,458.40 = 7,830.40/x
  3. Step 3: Cross multiply
    20,315.20x = 30,458.40 × 7,830.40
  4. Step 4: Simplify right side
    20,315.20x = 238,501,455.36
  5. Step 5: Solve for x
    x = 238,501,455.36/20,315.20
  6. Step 6: Final answer
    x = 11,740.05

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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.