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Finding the Fourth Proportional to 13,206.86, 19,810.25 and 4,447.92

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Solution

The fourth proportional to 13,206.86, 19,810.25 and 4,447.92 is: 6,671.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.86 : 19,810.25 = 4,447.92 : x
  2. Step 2: Convert to fraction form
    13,206.86/19,810.25 = 4,447.92/x
  3. Step 3: Cross multiply
    13,206.86x = 19,810.25 × 4,447.92
  4. Step 4: Simplify right side
    13,206.86x = 88,114,407.18
  5. Step 5: Solve for x
    x = 88,114,407.18/13,206.86
  6. Step 6: Final answer
    x = 6,671.87

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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.