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Finding the Fourth Proportional to 14,255.16, 21,387.42 and 6,858.65

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Solution

The fourth proportional to 14,255.16, 21,387.42 and 6,858.65 is: 10,290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,255.16 : 21,387.42 = 6,858.65 : x
  2. Step 2: Convert to fraction form
    14,255.16/21,387.42 = 6,858.65/x
  3. Step 3: Cross multiply
    14,255.16x = 21,387.42 × 6,858.65
  4. Step 4: Simplify right side
    14,255.16x = 146,688,721.25
  5. Step 5: Solve for x
    x = 146,688,721.25/14,255.16
  6. Step 6: Final answer
    x = 10,290.22

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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.