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Finding the Fourth Proportional to 13,642.46, 18,821.26 and 7,672.76

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Solution

The fourth proportional to 13,642.46, 18,821.26 and 7,672.76 is: 10,585.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.46 : 18,821.26 = 7,672.76 : x
  2. Step 2: Convert to fraction form
    13,642.46/18,821.26 = 7,672.76/x
  3. Step 3: Cross multiply
    13,642.46x = 18,821.26 × 7,672.76
  4. Step 4: Simplify right side
    13,642.46x = 144,411,010.88
  5. Step 5: Solve for x
    x = 144,411,010.88/13,642.46
  6. Step 6: Final answer
    x = 10,585.41

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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.