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Finding the Fourth Proportional to 14,237.24, 21,360.43 and 6,842.24

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Solution

The fourth proportional to 14,237.24, 21,360.43 and 6,842.24 is: 10,265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,237.24 : 21,360.43 = 6,842.24 : x
  2. Step 2: Convert to fraction form
    14,237.24/21,360.43 = 6,842.24/x
  3. Step 3: Cross multiply
    14,237.24x = 21,360.43 × 6,842.24
  4. Step 4: Simplify right side
    14,237.24x = 146,153,081.76
  5. Step 5: Solve for x
    x = 146,153,081.76/14,237.24
  6. Step 6: Final answer
    x = 10,265.55

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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.