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Finding the Fourth Proportional to 13,654.98, 18,829.80 and 9,409.68

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Solution

The fourth proportional to 13,654.98, 18,829.80 and 9,409.68 is: 12,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.98 : 18,829.80 = 9,409.68 : x
  2. Step 2: Convert to fraction form
    13,654.98/18,829.80 = 9,409.68/x
  3. Step 3: Cross multiply
    13,654.98x = 18,829.80 × 9,409.68
  4. Step 4: Simplify right side
    13,654.98x = 177,182,392.46
  5. Step 5: Solve for x
    x = 177,182,392.46/13,654.98
  6. Step 6: Final answer
    x = 12,975.66

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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.