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Finding the Fourth Proportional to 13,801.47, 19,056.77 and 10,609.82

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Solution

The fourth proportional to 13,801.47, 19,056.77 and 10,609.82 is: 14,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.47 : 19,056.77 = 10,609.82 : x
  2. Step 2: Convert to fraction form
    13,801.47/19,056.77 = 10,609.82/x
  3. Step 3: Cross multiply
    13,801.47x = 19,056.77 × 10,609.82
  4. Step 4: Simplify right side
    13,801.47x = 202,188,751.15
  5. Step 5: Solve for x
    x = 202,188,751.15/13,801.47
  6. Step 6: Final answer
    x = 14,649.80

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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.