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Finding the Fourth Proportional to 12,980.48, 17,913.13 and 7,315.31

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Solution

The fourth proportional to 12,980.48, 17,913.13 and 7,315.31 is: 10,095.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.48 : 17,913.13 = 7,315.31 : x
  2. Step 2: Convert to fraction form
    12,980.48/17,913.13 = 7,315.31/x
  3. Step 3: Cross multiply
    12,980.48x = 17,913.13 × 7,315.31
  4. Step 4: Simplify right side
    12,980.48x = 131,040,125.51
  5. Step 5: Solve for x
    x = 131,040,125.51/12,980.48
  6. Step 6: Final answer
    x = 10,095.17

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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.