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Finding the Fourth Proportional to 13,641.21, 18,819.54 and 7,671.51

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Solution

The fourth proportional to 13,641.21, 18,819.54 and 7,671.51 is: 10,583.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.21 : 18,819.54 = 7,671.51 : x
  2. Step 2: Convert to fraction form
    13,641.21/18,819.54 = 7,671.51/x
  3. Step 3: Cross multiply
    13,641.21x = 18,819.54 × 7,671.51
  4. Step 4: Simplify right side
    13,641.21x = 144,374,289.31
  5. Step 5: Solve for x
    x = 144,374,289.31/13,641.21
  6. Step 6: Final answer
    x = 10,583.69

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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.