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Finding the Fourth Proportional to 12,971.25, 17,901.54 and 7,382.25

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Solution

The fourth proportional to 12,971.25, 17,901.54 and 7,382.25 is: 10,188.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.25 : 17,901.54 = 7,382.25 : x
  2. Step 2: Convert to fraction form
    12,971.25/17,901.54 = 7,382.25/x
  3. Step 3: Cross multiply
    12,971.25x = 17,901.54 × 7,382.25
  4. Step 4: Simplify right side
    12,971.25x = 132,153,643.67
  5. Step 5: Solve for x
    x = 132,153,643.67/12,971.25
  6. Step 6: Final answer
    x = 10,188.20

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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.