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Finding the Fourth Proportional to 14,210.75, 19,610.97 and 7,923.26

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Solution

The fourth proportional to 14,210.75, 19,610.97 and 7,923.26 is: 10,934.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,210.75 : 19,610.97 = 7,923.26 : x
  2. Step 2: Convert to fraction form
    14,210.75/19,610.97 = 7,923.26/x
  3. Step 3: Cross multiply
    14,210.75x = 19,610.97 × 7,923.26
  4. Step 4: Simplify right side
    14,210.75x = 155,382,814.16
  5. Step 5: Solve for x
    x = 155,382,814.16/14,210.75
  6. Step 6: Final answer
    x = 10,934.17

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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.