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Finding the Fourth Proportional to 12,326.42, 17,010.14 and 7,022.95

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Solution

The fourth proportional to 12,326.42, 17,010.14 and 7,022.95 is: 9,691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326.42 : 17,010.14 = 7,022.95 : x
  2. Step 2: Convert to fraction form
    12,326.42/17,010.14 = 7,022.95/x
  3. Step 3: Cross multiply
    12,326.42x = 17,010.14 × 7,022.95
  4. Step 4: Simplify right side
    12,326.42x = 119,461,285.07
  5. Step 5: Solve for x
    x = 119,461,285.07/12,326.42
  6. Step 6: Final answer
    x = 9,691.48

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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.