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Finding the Fourth Proportional to 13,804.65, 19,050.65 and 7,836.50

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Solution

The fourth proportional to 13,804.65, 19,050.65 and 7,836.50 is: 10,814.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.65 : 19,050.65 = 7,836.50 : x
  2. Step 2: Convert to fraction form
    13,804.65/19,050.65 = 7,836.50/x
  3. Step 3: Cross multiply
    13,804.65x = 19,050.65 × 7,836.50
  4. Step 4: Simplify right side
    13,804.65x = 149,290,284.29
  5. Step 5: Solve for x
    x = 149,290,284.29/13,804.65
  6. Step 6: Final answer
    x = 10,814.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.