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Finding the Fourth Proportional to 14,411.56, 19,887.97 and 7,787.56

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Solution

The fourth proportional to 14,411.56, 19,887.97 and 7,787.56 is: 10,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.56 : 19,887.97 = 7,787.56 : x
  2. Step 2: Convert to fraction form
    14,411.56/19,887.97 = 7,787.56/x
  3. Step 3: Cross multiply
    14,411.56x = 19,887.97 × 7,787.56
  4. Step 4: Simplify right side
    14,411.56x = 154,878,759.65
  5. Step 5: Solve for x
    x = 154,878,759.65/14,411.56
  6. Step 6: Final answer
    x = 10,746.84

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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.