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Finding the Fourth Proportional to 14,512.42, 21,768.62 and 9,580.90

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Solution

The fourth proportional to 14,512.42, 21,768.62 and 9,580.90 is: 14,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,512.42 : 21,768.62 = 9,580.90 : x
  2. Step 2: Convert to fraction form
    14,512.42/21,768.62 = 9,580.90/x
  3. Step 3: Cross multiply
    14,512.42x = 21,768.62 × 9,580.90
  4. Step 4: Simplify right side
    14,512.42x = 208,562,971.36
  5. Step 5: Solve for x
    x = 208,562,971.36/14,512.42
  6. Step 6: Final answer
    x = 14,371.34

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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.