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Finding the Fourth Proportional to 13,217.84, 19,820.48 and 7,672.89

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Solution

The fourth proportional to 13,217.84, 19,820.48 and 7,672.89 is: 11,505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,217.84 : 19,820.48 = 7,672.89 : x
  2. Step 2: Convert to fraction form
    13,217.84/19,820.48 = 7,672.89/x
  3. Step 3: Cross multiply
    13,217.84x = 19,820.48 × 7,672.89
  4. Step 4: Simplify right side
    13,217.84x = 152,080,362.79
  5. Step 5: Solve for x
    x = 152,080,362.79/13,217.84
  6. Step 6: Final answer
    x = 11,505.69

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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.