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Finding the Fourth Proportional to 13,641.50, 18,822.03 and 7,671.98

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Solution

The fourth proportional to 13,641.50, 18,822.03 and 7,671.98 is: 10,585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,641.50 : 18,822.03 = 7,671.98 : x
  2. Step 2: Convert to fraction form
    13,641.50/18,822.03 = 7,671.98/x
  3. Step 3: Cross multiply
    13,641.50x = 18,822.03 × 7,671.98
  4. Step 4: Simplify right side
    13,641.50x = 144,402,237.72
  5. Step 5: Solve for x
    x = 144,402,237.72/13,641.50
  6. Step 6: Final answer
    x = 10,585.51

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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.