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Finding the Fourth Proportional to 13,678.96, 18,873.60 and 7,710.64

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Solution

The fourth proportional to 13,678.96, 18,873.60 and 7,710.64 is: 10,638.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.96 : 18,873.60 = 7,710.64 : x
  2. Step 2: Convert to fraction form
    13,678.96/18,873.60 = 7,710.64/x
  3. Step 3: Cross multiply
    13,678.96x = 18,873.60 × 7,710.64
  4. Step 4: Simplify right side
    13,678.96x = 145,527,535.10
  5. Step 5: Solve for x
    x = 145,527,535.10/13,678.96
  6. Step 6: Final answer
    x = 10,638.79

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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.