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Finding the Fourth Proportional to 14,242.96, 21,364.44 and 6,842.80

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Solution

The fourth proportional to 14,242.96, 21,364.44 and 6,842.80 is: 10,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.96 : 21,364.44 = 6,842.80 : x
  2. Step 2: Convert to fraction form
    14,242.96/21,364.44 = 6,842.80/x
  3. Step 3: Cross multiply
    14,242.96x = 21,364.44 × 6,842.80
  4. Step 4: Simplify right side
    14,242.96x = 146,192,590.03
  5. Step 5: Solve for x
    x = 146,192,590.03/14,242.96
  6. Step 6: Final answer
    x = 10,264.20

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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.