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Finding the Fourth Proportional to 13,698.55, 18,903.68 and 7,730.47

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Solution

The fourth proportional to 13,698.55, 18,903.68 and 7,730.47 is: 10,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.55 : 18,903.68 = 7,730.47 : x
  2. Step 2: Convert to fraction form
    13,698.55/18,903.68 = 7,730.47/x
  3. Step 3: Cross multiply
    13,698.55x = 18,903.68 × 7,730.47
  4. Step 4: Simplify right side
    13,698.55x = 146,134,292.48
  5. Step 5: Solve for x
    x = 146,134,292.48/13,698.55
  6. Step 6: Final answer
    x = 10,667.87

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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.