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Finding the Fourth Proportional to 13,771.32, 19,004.50 and 7,483.80

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Solution

The fourth proportional to 13,771.32, 19,004.50 and 7,483.80 is: 10,327.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.32 : 19,004.50 = 7,483.80 : x
  2. Step 2: Convert to fraction form
    13,771.32/19,004.50 = 7,483.80/x
  3. Step 3: Cross multiply
    13,771.32x = 19,004.50 × 7,483.80
  4. Step 4: Simplify right side
    13,771.32x = 142,225,877.10
  5. Step 5: Solve for x
    x = 142,225,877.10/13,771.32
  6. Step 6: Final answer
    x = 10,327.69

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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.