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Finding the Fourth Proportional to 12,513.54, 17,270.25 and 8,210.24

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Solution

The fourth proportional to 12,513.54, 17,270.25 and 8,210.24 is: 11,331.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,513.54 : 17,270.25 = 8,210.24 : x
  2. Step 2: Convert to fraction form
    12,513.54/17,270.25 = 8,210.24/x
  3. Step 3: Cross multiply
    12,513.54x = 17,270.25 × 8,210.24
  4. Step 4: Simplify right side
    12,513.54x = 141,792,897.36
  5. Step 5: Solve for x
    x = 141,792,897.36/12,513.54
  6. Step 6: Final answer
    x = 11,331.16

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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.