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Finding the Fourth Proportional to 14,356.23, 21,488.16 and 7,676.05

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Solution

The fourth proportional to 14,356.23, 21,488.16 and 7,676.05 is: 11,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,356.23 : 21,488.16 = 7,676.05 : x
  2. Step 2: Convert to fraction form
    14,356.23/21,488.16 = 7,676.05/x
  3. Step 3: Cross multiply
    14,356.23x = 21,488.16 × 7,676.05
  4. Step 4: Simplify right side
    14,356.23x = 164,944,190.57
  5. Step 5: Solve for x
    x = 164,944,190.57/14,356.23
  6. Step 6: Final answer
    x = 11,489.38

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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.