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Finding the Fourth Proportional to 20,303.10, 30,442.98 and 7,821.51

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Solution

The fourth proportional to 20,303.10, 30,442.98 and 7,821.51 is: 11,727.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,303.10 : 30,442.98 = 7,821.51 : x
  2. Step 2: Convert to fraction form
    20,303.10/30,442.98 = 7,821.51/x
  3. Step 3: Cross multiply
    20,303.10x = 30,442.98 × 7,821.51
  4. Step 4: Simplify right side
    20,303.10x = 238,110,072.50
  5. Step 5: Solve for x
    x = 238,110,072.50/20,303.10
  6. Step 6: Final answer
    x = 11,727.77

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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.