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Finding the Fourth Proportional to 30,715.16, 42,388.29 and 17,287.29

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Solution

The fourth proportional to 30,715.16, 42,388.29 and 17,287.29 is: 23,857.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715.16 : 42,388.29 = 17,287.29 : x
  2. Step 2: Convert to fraction form
    30,715.16/42,388.29 = 17,287.29/x
  3. Step 3: Cross multiply
    30,715.16x = 42,388.29 × 17,287.29
  4. Step 4: Simplify right side
    30,715.16x = 732,778,496.96
  5. Step 5: Solve for x
    x = 732,778,496.96/30,715.16
  6. Step 6: Final answer
    x = 23,857.22

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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.