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Finding the Fourth Proportional to 17,149.36, 23,666.70 and 10,075.66

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Solution

The fourth proportional to 17,149.36, 23,666.70 and 10,075.66 is: 13,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,149.36 : 23,666.70 = 10,075.66 : x
  2. Step 2: Convert to fraction form
    17,149.36/23,666.70 = 10,075.66/x
  3. Step 3: Cross multiply
    17,149.36x = 23,666.70 × 10,075.66
  4. Step 4: Simplify right side
    17,149.36x = 238,457,622.52
  5. Step 5: Solve for x
    x = 238,457,622.52/17,149.36
  6. Step 6: Final answer
    x = 13,904.75

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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.