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Finding the Fourth Proportional to 13,788.63, 19,047.69 and 12,296.07

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Solution

The fourth proportional to 13,788.63, 19,047.69 and 12,296.07 is: 16,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,788.63 : 19,047.69 = 12,296.07 : x
  2. Step 2: Convert to fraction form
    13,788.63/19,047.69 = 12,296.07/x
  3. Step 3: Cross multiply
    13,788.63x = 19,047.69 × 12,296.07
  4. Step 4: Simplify right side
    13,788.63x = 234,211,729.58
  5. Step 5: Solve for x
    x = 234,211,729.58/13,788.63
  6. Step 6: Final answer
    x = 16,985.86

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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.