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Finding the Fourth Proportional to 19,548.68, 29,329.50 and 13,000.64

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Solution

The fourth proportional to 19,548.68, 29,329.50 and 13,000.64 is: 19,505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,548.68 : 29,329.50 = 13,000.64 : x
  2. Step 2: Convert to fraction form
    19,548.68/29,329.50 = 13,000.64/x
  3. Step 3: Cross multiply
    19,548.68x = 29,329.50 × 13,000.64
  4. Step 4: Simplify right side
    19,548.68x = 381,302,270.88
  5. Step 5: Solve for x
    x = 381,302,270.88/19,548.68
  6. Step 6: Final answer
    x = 19,505.27

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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.