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Finding the Fourth Proportional to 13,090.24, 19,594.05 and 8,403.99

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Solution

The fourth proportional to 13,090.24, 19,594.05 and 8,403.99 is: 12,579.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090.24 : 19,594.05 = 8,403.99 : x
  2. Step 2: Convert to fraction form
    13,090.24/19,594.05 = 8,403.99/x
  3. Step 3: Cross multiply
    13,090.24x = 19,594.05 × 8,403.99
  4. Step 4: Simplify right side
    13,090.24x = 164,668,200.26
  5. Step 5: Solve for x
    x = 164,668,200.26/13,090.24
  6. Step 6: Final answer
    x = 12,579.46

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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.