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Finding the Fourth Proportional to 13,145.69, 19,693.94 and 10,209.65

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Solution

The fourth proportional to 13,145.69, 19,693.94 and 10,209.65 is: 15,295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,145.69 : 19,693.94 = 10,209.65 : x
  2. Step 2: Convert to fraction form
    13,145.69/19,693.94 = 10,209.65/x
  3. Step 3: Cross multiply
    13,145.69x = 19,693.94 × 10,209.65
  4. Step 4: Simplify right side
    13,145.69x = 201,068,085.00
  5. Step 5: Solve for x
    x = 201,068,085.00/13,145.69
  6. Step 6: Final answer
    x = 15,295.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.