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Finding the Fourth Proportional to 13,085, 19,600.77 and 10,886.66

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Solution

The fourth proportional to 13,085, 19,600.77 and 10,886.66 is: 16,307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085 : 19,600.77 = 10,886.66 : x
  2. Step 2: Convert to fraction form
    13,085/19,600.77 = 10,886.66/x
  3. Step 3: Cross multiply
    13,085x = 19,600.77 × 10,886.66
  4. Step 4: Simplify right side
    13,085x = 213,386,918.73
  5. Step 5: Solve for x
    x = 213,386,918.73/13,085
  6. Step 6: Final answer
    x = 16,307.75

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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.