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Finding the Fourth Proportional to 17,386.64, 23,993.38 and 9,428.80

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Solution

The fourth proportional to 17,386.64, 23,993.38 and 9,428.80 is: 13,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,386.64 : 23,993.38 = 9,428.80 : x
  2. Step 2: Convert to fraction form
    17,386.64/23,993.38 = 9,428.80/x
  3. Step 3: Cross multiply
    17,386.64x = 23,993.38 × 9,428.80
  4. Step 4: Simplify right side
    17,386.64x = 226,228,781.34
  5. Step 5: Solve for x
    x = 226,228,781.34/17,386.64
  6. Step 6: Final answer
    x = 13,011.64

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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.