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Finding the Fourth Proportional to 13,205.43, 19,811.25 and 5,810.49

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Solution

The fourth proportional to 13,205.43, 19,811.25 and 5,810.49 is: 8,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.43 : 19,811.25 = 5,810.49 : x
  2. Step 2: Convert to fraction form
    13,205.43/19,811.25 = 5,810.49/x
  3. Step 3: Cross multiply
    13,205.43x = 19,811.25 × 5,810.49
  4. Step 4: Simplify right side
    13,205.43x = 115,113,070.01
  5. Step 5: Solve for x
    x = 115,113,070.01/13,205.43
  6. Step 6: Final answer
    x = 8,717.10

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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.