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Finding the Fourth Proportional to 13,642.21, 18,820.92 and 7,672.51

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Solution

The fourth proportional to 13,642.21, 18,820.92 and 7,672.51 is: 10,585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.21 : 18,820.92 = 7,672.51 : x
  2. Step 2: Convert to fraction form
    13,642.21/18,820.92 = 7,672.51/x
  3. Step 3: Cross multiply
    13,642.21x = 18,820.92 × 7,672.51
  4. Step 4: Simplify right side
    13,642.21x = 144,403,696.91
  5. Step 5: Solve for x
    x = 144,403,696.91/13,642.21
  6. Step 6: Final answer
    x = 10,585.07

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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.