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Finding the Fourth Proportional to 13,698.48, 18,902.64 and 7,730.76

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Solution

The fourth proportional to 13,698.48, 18,902.64 and 7,730.76 is: 10,667.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.48 : 18,902.64 = 7,730.76 : x
  2. Step 2: Convert to fraction form
    13,698.48/18,902.64 = 7,730.76/x
  3. Step 3: Cross multiply
    13,698.48x = 18,902.64 × 7,730.76
  4. Step 4: Simplify right side
    13,698.48x = 146,131,773.21
  5. Step 5: Solve for x
    x = 146,131,773.21/13,698.48
  6. Step 6: Final answer
    x = 10,667.74

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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.