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Finding the Fourth Proportional to 20,243, 30,373.88 and 7,758.84

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Solution

The fourth proportional to 20,243, 30,373.88 and 7,758.84 is: 11,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,243 : 30,373.88 = 7,758.84 : x
  2. Step 2: Convert to fraction form
    20,243/30,373.88 = 7,758.84/x
  3. Step 3: Cross multiply
    20,243x = 30,373.88 × 7,758.84
  4. Step 4: Simplify right side
    20,243x = 235,666,075.10
  5. Step 5: Solve for x
    x = 235,666,075.10/20,243
  6. Step 6: Final answer
    x = 11,641.86

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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.