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Finding the Fourth Proportional to 13,106.60, 19,668 and 5,315.48

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Solution

The fourth proportional to 13,106.60, 19,668 and 5,315.48 is: 7,976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,106.60 : 19,668 = 5,315.48 : x
  2. Step 2: Convert to fraction form
    13,106.60/19,668 = 5,315.48/x
  3. Step 3: Cross multiply
    13,106.60x = 19,668 × 5,315.48
  4. Step 4: Simplify right side
    13,106.60x = 104,544,860.64
  5. Step 5: Solve for x
    x = 104,544,860.64/13,106.60
  6. Step 6: Final answer
    x = 7,976.51

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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.