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Finding the Fourth Proportional to 13,208.10, 19,802.55 and 5,412.90

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Solution

The fourth proportional to 13,208.10, 19,802.55 and 5,412.90 is: 8,115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208.10 : 19,802.55 = 5,412.90 : x
  2. Step 2: Convert to fraction form
    13,208.10/19,802.55 = 5,412.90/x
  3. Step 3: Cross multiply
    13,208.10x = 19,802.55 × 5,412.90
  4. Step 4: Simplify right side
    13,208.10x = 107,189,222.90
  5. Step 5: Solve for x
    x = 107,189,222.90/13,208.10
  6. Step 6: Final answer
    x = 8,115.42

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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.