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Finding the Fourth Proportional to 36,153.65, 54,228.87 and 9,858.40

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Solution

The fourth proportional to 36,153.65, 54,228.87 and 9,858.40 is: 14,787.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,153.65 : 54,228.87 = 9,858.40 : x
  2. Step 2: Convert to fraction form
    36,153.65/54,228.87 = 9,858.40/x
  3. Step 3: Cross multiply
    36,153.65x = 54,228.87 × 9,858.40
  4. Step 4: Simplify right side
    36,153.65x = 534,609,756.44
  5. Step 5: Solve for x
    x = 534,609,756.44/36,153.65
  6. Step 6: Final answer
    x = 14,787.16

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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.