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Finding the Fourth Proportional to 13,916.39, 20,878 and 4,055.76

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Solution

The fourth proportional to 13,916.39, 20,878 and 4,055.76 is: 6,084.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.39 : 20,878 = 4,055.76 : x
  2. Step 2: Convert to fraction form
    13,916.39/20,878 = 4,055.76/x
  3. Step 3: Cross multiply
    13,916.39x = 20,878 × 4,055.76
  4. Step 4: Simplify right side
    13,916.39x = 84,676,157.28
  5. Step 5: Solve for x
    x = 84,676,157.28/13,916.39
  6. Step 6: Final answer
    x = 6,084.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.