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Finding the Fourth Proportional to 12,716.34, 17,547.83 and 7,050.75

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Solution

The fourth proportional to 12,716.34, 17,547.83 and 7,050.75 is: 9,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.34 : 17,547.83 = 7,050.75 : x
  2. Step 2: Convert to fraction form
    12,716.34/17,547.83 = 7,050.75/x
  3. Step 3: Cross multiply
    12,716.34x = 17,547.83 × 7,050.75
  4. Step 4: Simplify right side
    12,716.34x = 123,725,287.75
  5. Step 5: Solve for x
    x = 123,725,287.75/12,716.34
  6. Step 6: Final answer
    x = 9,729.63

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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.