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Finding the Fourth Proportional to 14,523.44, 21,748.23 and 9,578.08

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Solution

The fourth proportional to 14,523.44, 21,748.23 and 9,578.08 is: 14,342.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,523.44 : 21,748.23 = 9,578.08 : x
  2. Step 2: Convert to fraction form
    14,523.44/21,748.23 = 9,578.08/x
  3. Step 3: Cross multiply
    14,523.44x = 21,748.23 × 9,578.08
  4. Step 4: Simplify right side
    14,523.44x = 208,306,313.98
  5. Step 5: Solve for x
    x = 208,306,313.98/14,523.44
  6. Step 6: Final answer
    x = 14,342.77

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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.