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Finding the Fourth Proportional to 12,810.84, 17,674.88 and 10,113.56

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Solution

The fourth proportional to 12,810.84, 17,674.88 and 10,113.56 is: 13,953.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.84 : 17,674.88 = 10,113.56 : x
  2. Step 2: Convert to fraction form
    12,810.84/17,674.88 = 10,113.56/x
  3. Step 3: Cross multiply
    12,810.84x = 17,674.88 × 10,113.56
  4. Step 4: Simplify right side
    12,810.84x = 178,755,959.37
  5. Step 5: Solve for x
    x = 178,755,959.37/12,810.84
  6. Step 6: Final answer
    x = 13,953.49

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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.