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Finding the Fourth Proportional to 30,204.54, 41,681.40 and 17,284.14

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Solution

The fourth proportional to 30,204.54, 41,681.40 and 17,284.14 is: 23,851.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,204.54 : 41,681.40 = 17,284.14 : x
  2. Step 2: Convert to fraction form
    30,204.54/41,681.40 = 17,284.14/x
  3. Step 3: Cross multiply
    30,204.54x = 41,681.40 × 17,284.14
  4. Step 4: Simplify right side
    30,204.54x = 720,427,153.00
  5. Step 5: Solve for x
    x = 720,427,153.00/30,204.54
  6. Step 6: Final answer
    x = 23,851.62

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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.