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Finding the Fourth Proportional to 17,235.16, 25,827.96 and 9,824.34

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Solution

The fourth proportional to 17,235.16, 25,827.96 and 9,824.34 is: 14,722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,235.16 : 25,827.96 = 9,824.34 : x
  2. Step 2: Convert to fraction form
    17,235.16/25,827.96 = 9,824.34/x
  3. Step 3: Cross multiply
    17,235.16x = 25,827.96 × 9,824.34
  4. Step 4: Simplify right side
    17,235.16x = 253,742,660.55
  5. Step 5: Solve for x
    x = 253,742,660.55/17,235.16
  6. Step 6: Final answer
    x = 14,722.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.