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Finding the Fourth Proportional to 20,345.35, 30,522.69 and 7,865.48

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Solution

The fourth proportional to 20,345.35, 30,522.69 and 7,865.48 is: 11,800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,345.35 : 30,522.69 = 7,865.48 : x
  2. Step 2: Convert to fraction form
    20,345.35/30,522.69 = 7,865.48/x
  3. Step 3: Cross multiply
    20,345.35x = 30,522.69 × 7,865.48
  4. Step 4: Simplify right side
    20,345.35x = 240,075,607.74
  5. Step 5: Solve for x
    x = 240,075,607.74/20,345.35
  6. Step 6: Final answer
    x = 11,800.02

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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.