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Finding the Fourth Proportional to 12,675.46, 17,493.63 and 7,642.22

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Solution

The fourth proportional to 12,675.46, 17,493.63 and 7,642.22 is: 10,547.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.46 : 17,493.63 = 7,642.22 : x
  2. Step 2: Convert to fraction form
    12,675.46/17,493.63 = 7,642.22/x
  3. Step 3: Cross multiply
    12,675.46x = 17,493.63 × 7,642.22
  4. Step 4: Simplify right side
    12,675.46x = 133,690,169.06
  5. Step 5: Solve for x
    x = 133,690,169.06/12,675.46
  6. Step 6: Final answer
    x = 10,547.17

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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.