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Finding the Fourth Proportional to 17,896.16, 24,696.56 and 9,938.41

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Solution

The fourth proportional to 17,896.16, 24,696.56 and 9,938.41 is: 13,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,896.16 : 24,696.56 = 9,938.41 : x
  2. Step 2: Convert to fraction form
    17,896.16/24,696.56 = 9,938.41/x
  3. Step 3: Cross multiply
    17,896.16x = 24,696.56 × 9,938.41
  4. Step 4: Simplify right side
    17,896.16x = 245,444,501.97
  5. Step 5: Solve for x
    x = 245,444,501.97/17,896.16
  6. Step 6: Final answer
    x = 13,714.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.