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Finding the Fourth Proportional to 12,130.72, 16,740.32 and 6,825.42

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Solution

The fourth proportional to 12,130.72, 16,740.32 and 6,825.42 is: 9,419.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.72 : 16,740.32 = 6,825.42 : x
  2. Step 2: Convert to fraction form
    12,130.72/16,740.32 = 6,825.42/x
  3. Step 3: Cross multiply
    12,130.72x = 16,740.32 × 6,825.42
  4. Step 4: Simplify right side
    12,130.72x = 114,259,714.93
  5. Step 5: Solve for x
    x = 114,259,714.93/12,130.72
  6. Step 6: Final answer
    x = 9,419.04

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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.