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Finding the Fourth Proportional to 12,675.42, 17,492.13 and 7,086.42

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Solution

The fourth proportional to 12,675.42, 17,492.13 and 7,086.42 is: 9,779.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.42 : 17,492.13 = 7,086.42 : x
  2. Step 2: Convert to fraction form
    12,675.42/17,492.13 = 7,086.42/x
  3. Step 3: Cross multiply
    12,675.42x = 17,492.13 × 7,086.42
  4. Step 4: Simplify right side
    12,675.42x = 123,956,579.87
  5. Step 5: Solve for x
    x = 123,956,579.87/12,675.42
  6. Step 6: Final answer
    x = 9,779.29

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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.