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Finding the Fourth Proportional to 13,795.47, 18,989.69 and 12,024

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Solution

The fourth proportional to 13,795.47, 18,989.69 and 12,024 is: 16,551.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,795.47 : 18,989.69 = 12,024 : x
  2. Step 2: Convert to fraction form
    13,795.47/18,989.69 = 12,024/x
  3. Step 3: Cross multiply
    13,795.47x = 18,989.69 × 12,024
  4. Step 4: Simplify right side
    13,795.47x = 228,331,972.44
  5. Step 5: Solve for x
    x = 228,331,972.44/13,795.47
  6. Step 6: Final answer
    x = 16,551.23

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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.