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Finding the Fourth Proportional to 17,283.86, 23,851.73 and 9,730.25

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Solution

The fourth proportional to 17,283.86, 23,851.73 and 9,730.25 is: 13,427.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,283.86 : 23,851.73 = 9,730.25 : x
  2. Step 2: Convert to fraction form
    17,283.86/23,851.73 = 9,730.25/x
  3. Step 3: Cross multiply
    17,283.86x = 23,851.73 × 9,730.25
  4. Step 4: Simplify right side
    17,283.86x = 232,083,127.92
  5. Step 5: Solve for x
    x = 232,083,127.92/17,283.86
  6. Step 6: Final answer
    x = 13,427.74

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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.