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Finding the Fourth Proportional to 13,449.01, 18,559.23 and 7,784.68

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Solution

The fourth proportional to 13,449.01, 18,559.23 and 7,784.68 is: 10,742.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,449.01 : 18,559.23 = 7,784.68 : x
  2. Step 2: Convert to fraction form
    13,449.01/18,559.23 = 7,784.68/x
  3. Step 3: Cross multiply
    13,449.01x = 18,559.23 × 7,784.68
  4. Step 4: Simplify right side
    13,449.01x = 144,477,666.60
  5. Step 5: Solve for x
    x = 144,477,666.60/13,449.01
  6. Step 6: Final answer
    x = 10,742.62

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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.