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Finding the Fourth Proportional to 17,630.84, 24,329 and 10,075.68

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Solution

The fourth proportional to 17,630.84, 24,329 and 10,075.68 is: 13,903.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,630.84 : 24,329 = 10,075.68 : x
  2. Step 2: Convert to fraction form
    17,630.84/24,329 = 10,075.68/x
  3. Step 3: Cross multiply
    17,630.84x = 24,329 × 10,075.68
  4. Step 4: Simplify right side
    17,630.84x = 245,131,218.72
  5. Step 5: Solve for x
    x = 245,131,218.72/17,630.84
  6. Step 6: Final answer
    x = 13,903.55

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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.