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Finding the Fourth Proportional to 13,109.16, 19,587.09 and 12,649.88

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Solution

The fourth proportional to 13,109.16, 19,587.09 and 12,649.88 is: 18,900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,109.16 : 19,587.09 = 12,649.88 : x
  2. Step 2: Convert to fraction form
    13,109.16/19,587.09 = 12,649.88/x
  3. Step 3: Cross multiply
    13,109.16x = 19,587.09 × 12,649.88
  4. Step 4: Simplify right side
    13,109.16x = 247,774,338.05
  5. Step 5: Solve for x
    x = 247,774,338.05/13,109.16
  6. Step 6: Final answer
    x = 18,900.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.