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Finding the Fourth Proportional to 12,447.34, 17,176.35 and 7,141.03

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Solution

The fourth proportional to 12,447.34, 17,176.35 and 7,141.03 is: 9,854.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447.34 : 17,176.35 = 7,141.03 : x
  2. Step 2: Convert to fraction form
    12,447.34/17,176.35 = 7,141.03/x
  3. Step 3: Cross multiply
    12,447.34x = 17,176.35 × 7,141.03
  4. Step 4: Simplify right side
    12,447.34x = 122,656,814.48
  5. Step 5: Solve for x
    x = 122,656,814.48/12,447.34
  6. Step 6: Final answer
    x = 9,854.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.