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Finding the Fourth Proportional to 14,411.69, 19,888.14 and 7,787.69

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Solution

The fourth proportional to 14,411.69, 19,888.14 and 7,787.69 is: 10,747.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.69 : 19,888.14 = 7,787.69 : x
  2. Step 2: Convert to fraction form
    14,411.69/19,888.14 = 7,787.69/x
  3. Step 3: Cross multiply
    14,411.69x = 19,888.14 × 7,787.69
  4. Step 4: Simplify right side
    14,411.69x = 154,882,669.00
  5. Step 5: Solve for x
    x = 154,882,669.00/14,411.69
  6. Step 6: Final answer
    x = 10,747.02

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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.