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Finding the Fourth Proportional to 20,477.67, 30,703.91 and 9,387.77

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Solution

The fourth proportional to 20,477.67, 30,703.91 and 9,387.77 is: 14,075.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,477.67 : 30,703.91 = 9,387.77 : x
  2. Step 2: Convert to fraction form
    20,477.67/30,703.91 = 9,387.77/x
  3. Step 3: Cross multiply
    20,477.67x = 30,703.91 × 9,387.77
  4. Step 4: Simplify right side
    20,477.67x = 288,241,044.72
  5. Step 5: Solve for x
    x = 288,241,044.72/20,477.67
  6. Step 6: Final answer
    x = 14,075.87

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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.