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Finding the Fourth Proportional to 17,016.79, 23,483.15 and 9,564.79

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Solution

The fourth proportional to 17,016.79, 23,483.15 and 9,564.79 is: 13,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,016.79 : 23,483.15 = 9,564.79 : x
  2. Step 2: Convert to fraction form
    17,016.79/23,483.15 = 9,564.79/x
  3. Step 3: Cross multiply
    17,016.79x = 23,483.15 × 9,564.79
  4. Step 4: Simplify right side
    17,016.79x = 224,611,398.29
  5. Step 5: Solve for x
    x = 224,611,398.29/17,016.79
  6. Step 6: Final answer
    x = 13,199.40

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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.