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Finding the Fourth Proportional to 19,676.64, 29,515.32 and 7,196.66

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Solution

The fourth proportional to 19,676.64, 29,515.32 and 7,196.66 is: 10,795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676.64 : 29,515.32 = 7,196.66 : x
  2. Step 2: Convert to fraction form
    19,676.64/29,515.32 = 7,196.66/x
  3. Step 3: Cross multiply
    19,676.64x = 29,515.32 × 7,196.66
  4. Step 4: Simplify right side
    19,676.64x = 212,411,575.25
  5. Step 5: Solve for x
    x = 212,411,575.25/19,676.64
  6. Step 6: Final answer
    x = 10,795.11

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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.