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Finding the Fourth Proportional to 13,090.80, 18,063.57 and 7,784.59

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Solution

The fourth proportional to 13,090.80, 18,063.57 and 7,784.59 is: 10,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090.80 : 18,063.57 = 7,784.59 : x
  2. Step 2: Convert to fraction form
    13,090.80/18,063.57 = 7,784.59/x
  3. Step 3: Cross multiply
    13,090.80x = 18,063.57 × 7,784.59
  4. Step 4: Simplify right side
    13,090.80x = 140,617,486.39
  5. Step 5: Solve for x
    x = 140,617,486.39/13,090.80
  6. Step 6: Final answer
    x = 10,741.70

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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.