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Finding the Fourth Proportional to 14,512.05, 21,768.06 and 9,580.53

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Solution

The fourth proportional to 14,512.05, 21,768.06 and 9,580.53 is: 14,370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,512.05 : 21,768.06 = 9,580.53 : x
  2. Step 2: Convert to fraction form
    14,512.05/21,768.06 = 9,580.53/x
  3. Step 3: Cross multiply
    14,512.05x = 21,768.06 × 9,580.53
  4. Step 4: Simplify right side
    14,512.05x = 208,549,551.87
  5. Step 5: Solve for x
    x = 208,549,551.87/14,512.05
  6. Step 6: Final answer
    x = 14,370.79

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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.