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Finding the Fourth Proportional to 13,809.53, 19,064.36 and 10,778.14

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Solution

The fourth proportional to 13,809.53, 19,064.36 and 10,778.14 is: 14,879.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.53 : 19,064.36 = 10,778.14 : x
  2. Step 2: Convert to fraction form
    13,809.53/19,064.36 = 10,778.14/x
  3. Step 3: Cross multiply
    13,809.53x = 19,064.36 × 10,778.14
  4. Step 4: Simplify right side
    13,809.53x = 205,478,293.43
  5. Step 5: Solve for x
    x = 205,478,293.43/13,809.53
  6. Step 6: Final answer
    x = 14,879.46

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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.