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Finding the Fourth Proportional to 14,074.77, 19,423.04 and 7,787.19

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Solution

The fourth proportional to 14,074.77, 19,423.04 and 7,787.19 is: 10,746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.77 : 19,423.04 = 7,787.19 : x
  2. Step 2: Convert to fraction form
    14,074.77/19,423.04 = 7,787.19/x
  3. Step 3: Cross multiply
    14,074.77x = 19,423.04 × 7,787.19
  4. Step 4: Simplify right side
    14,074.77x = 151,250,912.48
  5. Step 5: Solve for x
    x = 151,250,912.48/14,074.77
  6. Step 6: Final answer
    x = 10,746.24

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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.