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Finding the Fourth Proportional to 13,789.69, 19,029.93 and 10,334.16

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Solution

The fourth proportional to 13,789.69, 19,029.93 and 10,334.16 is: 14,261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789.69 : 19,029.93 = 10,334.16 : x
  2. Step 2: Convert to fraction form
    13,789.69/19,029.93 = 10,334.16/x
  3. Step 3: Cross multiply
    13,789.69x = 19,029.93 × 10,334.16
  4. Step 4: Simplify right side
    13,789.69x = 196,658,341.41
  5. Step 5: Solve for x
    x = 196,658,341.41/13,789.69
  6. Step 6: Final answer
    x = 14,261.26

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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.