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Finding the Fourth Proportional to 17,381.60, 23,988.78 and 9,828.35

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Solution

The fourth proportional to 17,381.60, 23,988.78 and 9,828.35 is: 13,564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,381.60 : 23,988.78 = 9,828.35 : x
  2. Step 2: Convert to fraction form
    17,381.60/23,988.78 = 9,828.35/x
  3. Step 3: Cross multiply
    17,381.60x = 23,988.78 × 9,828.35
  4. Step 4: Simplify right side
    17,381.60x = 235,770,005.97
  5. Step 5: Solve for x
    x = 235,770,005.97/17,381.60
  6. Step 6: Final answer
    x = 13,564.35

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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.