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Finding the Fourth Proportional to 13,670.44, 18,865.32 and 7,701.58

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Solution

The fourth proportional to 13,670.44, 18,865.32 and 7,701.58 is: 10,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.44 : 18,865.32 = 7,701.58 : x
  2. Step 2: Convert to fraction form
    13,670.44/18,865.32 = 7,701.58/x
  3. Step 3: Cross multiply
    13,670.44x = 18,865.32 × 7,701.58
  4. Step 4: Simplify right side
    13,670.44x = 145,292,771.21
  5. Step 5: Solve for x
    x = 145,292,771.21/13,670.44
  6. Step 6: Final answer
    x = 10,628.24

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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.