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Finding the Fourth Proportional to 13,771.90, 19,005.22 and 7,484.26

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Solution

The fourth proportional to 13,771.90, 19,005.22 and 7,484.26 is: 10,328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.90 : 19,005.22 = 7,484.26 : x
  2. Step 2: Convert to fraction form
    13,771.90/19,005.22 = 7,484.26/x
  3. Step 3: Cross multiply
    13,771.90x = 19,005.22 × 7,484.26
  4. Step 4: Simplify right side
    13,771.90x = 142,240,007.84
  5. Step 5: Solve for x
    x = 142,240,007.84/13,771.90
  6. Step 6: Final answer
    x = 10,328.28

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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.