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Finding the Fourth Proportional to 14,074.96, 19,423.76 and 7,787.40

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Solution

The fourth proportional to 14,074.96, 19,423.76 and 7,787.40 is: 10,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,074.96 : 19,423.76 = 7,787.40 : x
  2. Step 2: Convert to fraction form
    14,074.96/19,423.76 = 7,787.40/x
  3. Step 3: Cross multiply
    14,074.96x = 19,423.76 × 7,787.40
  4. Step 4: Simplify right side
    14,074.96x = 151,260,588.62
  5. Step 5: Solve for x
    x = 151,260,588.62/14,074.96
  6. Step 6: Final answer
    x = 10,746.79

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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.