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Finding the Fourth Proportional to 15,675.57, 21,642.53 and 9,716.00

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Solution

The fourth proportional to 15,675.57, 21,642.53 and 9,716.00 is: 13,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,675.57 : 21,642.53 = 9,716.00 : x
  2. Step 2: Convert to fraction form
    15,675.57/21,642.53 = 9,716.00/x
  3. Step 3: Cross multiply
    15,675.57x = 21,642.53 × 9,716.00
  4. Step 4: Simplify right side
    15,675.57x = 210,278,664.69
  5. Step 5: Solve for x
    x = 210,278,664.69/15,675.57
  6. Step 6: Final answer
    x = 13,414.42

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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.