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Finding the Fourth Proportional to 13,699.50, 18,897.33 and 8,032.87

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Solution

The fourth proportional to 13,699.50, 18,897.33 and 8,032.87 is: 11,080.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.50 : 18,897.33 = 8,032.87 : x
  2. Step 2: Convert to fraction form
    13,699.50/18,897.33 = 8,032.87/x
  3. Step 3: Cross multiply
    13,699.50x = 18,897.33 × 8,032.87
  4. Step 4: Simplify right side
    13,699.50x = 151,799,795.24
  5. Step 5: Solve for x
    x = 151,799,795.24/13,699.50
  6. Step 6: Final answer
    x = 11,080.68

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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.