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Finding the Fourth Proportional to 13,907.68, 19,186.17 and 12,315.95

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Solution

The fourth proportional to 13,907.68, 19,186.17 and 12,315.95 is: 16,990.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.68 : 19,186.17 = 12,315.95 : x
  2. Step 2: Convert to fraction form
    13,907.68/19,186.17 = 12,315.95/x
  3. Step 3: Cross multiply
    13,907.68x = 19,186.17 × 12,315.95
  4. Step 4: Simplify right side
    13,907.68x = 236,295,910.41
  5. Step 5: Solve for x
    x = 236,295,910.41/13,907.68
  6. Step 6: Final answer
    x = 16,990.32

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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.