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Finding the Fourth Proportional to 36,154.65, 54,230.37 and 9,859.40

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Solution

The fourth proportional to 36,154.65, 54,230.37 and 9,859.40 is: 14,788.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,154.65 : 54,230.37 = 9,859.40 : x
  2. Step 2: Convert to fraction form
    36,154.65/54,230.37 = 9,859.40/x
  3. Step 3: Cross multiply
    36,154.65x = 54,230.37 × 9,859.40
  4. Step 4: Simplify right side
    36,154.65x = 534,678,909.98
  5. Step 5: Solve for x
    x = 534,678,909.98/36,154.65
  6. Step 6: Final answer
    x = 14,788.66

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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.