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Finding the Fourth Proportional to 14,004.81, 19,342.19 and 9,520.78

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Solution

The fourth proportional to 14,004.81, 19,342.19 and 9,520.78 is: 13,149.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,004.81 : 19,342.19 = 9,520.78 : x
  2. Step 2: Convert to fraction form
    14,004.81/19,342.19 = 9,520.78/x
  3. Step 3: Cross multiply
    14,004.81x = 19,342.19 × 9,520.78
  4. Step 4: Simplify right side
    14,004.81x = 184,152,735.71
  5. Step 5: Solve for x
    x = 184,152,735.71/14,004.81
  6. Step 6: Final answer
    x = 13,149.25

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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.