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Finding the Fourth Proportional to 12,675.36, 17,492.36 and 7,086.32

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Solution

The fourth proportional to 12,675.36, 17,492.36 and 7,086.32 is: 9,779.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.36 : 17,492.36 = 7,086.32 : x
  2. Step 2: Convert to fraction form
    12,675.36/17,492.36 = 7,086.32/x
  3. Step 3: Cross multiply
    12,675.36x = 17,492.36 × 7,086.32
  4. Step 4: Simplify right side
    12,675.36x = 123,956,460.52
  5. Step 5: Solve for x
    x = 123,956,460.52/12,675.36
  6. Step 6: Final answer
    x = 9,779.32

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Why These Related Problems?

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