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Finding the Fourth Proportional to 13,707.62, 18,917 and 7,740.35

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Solution

The fourth proportional to 13,707.62, 18,917 and 7,740.35 is: 10,681.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.62 : 18,917 = 7,740.35 : x
  2. Step 2: Convert to fraction form
    13,707.62/18,917 = 7,740.35/x
  3. Step 3: Cross multiply
    13,707.62x = 18,917 × 7,740.35
  4. Step 4: Simplify right side
    13,707.62x = 146,424,200.95
  5. Step 5: Solve for x
    x = 146,424,200.95/13,707.62
  6. Step 6: Final answer
    x = 10,681.96

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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.