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Finding the Fourth Proportional to 17,012.16, 23,471.35 and 10,295.64

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Solution

The fourth proportional to 17,012.16, 23,471.35 and 10,295.64 is: 14,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,012.16 : 23,471.35 = 10,295.64 : x
  2. Step 2: Convert to fraction form
    17,012.16/23,471.35 = 10,295.64/x
  3. Step 3: Cross multiply
    17,012.16x = 23,471.35 × 10,295.64
  4. Step 4: Simplify right side
    17,012.16x = 241,652,569.91
  5. Step 5: Solve for x
    x = 241,652,569.91/17,012.16
  6. Step 6: Final answer
    x = 14,204.70

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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.