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Finding the Fourth Proportional to 14,262.14, 21,385.31 and 5,834.57

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Solution

The fourth proportional to 14,262.14, 21,385.31 and 5,834.57 is: 8,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.14 : 21,385.31 = 5,834.57 : x
  2. Step 2: Convert to fraction form
    14,262.14/21,385.31 = 5,834.57/x
  3. Step 3: Cross multiply
    14,262.14x = 21,385.31 × 5,834.57
  4. Step 4: Simplify right side
    14,262.14x = 124,773,995.83
  5. Step 5: Solve for x
    x = 124,773,995.83/14,262.14
  6. Step 6: Final answer
    x = 8,748.62

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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.