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Finding the Fourth Proportional to 13,031.52, 19,548.16 and 6,455.94

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Solution

The fourth proportional to 13,031.52, 19,548.16 and 6,455.94 is: 9,684.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.52 : 19,548.16 = 6,455.94 : x
  2. Step 2: Convert to fraction form
    13,031.52/19,548.16 = 6,455.94/x
  3. Step 3: Cross multiply
    13,031.52x = 19,548.16 × 6,455.94
  4. Step 4: Simplify right side
    13,031.52x = 126,201,658.62
  5. Step 5: Solve for x
    x = 126,201,658.62/13,031.52
  6. Step 6: Final answer
    x = 9,684.34

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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.