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Finding the Fourth Proportional to 12,980.48, 17,911.74 and 7,315.08

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Solution

The fourth proportional to 12,980.48, 17,911.74 and 7,315.08 is: 10,094.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,980.48 : 17,911.74 = 7,315.08 : x
  2. Step 2: Convert to fraction form
    12,980.48/17,911.74 = 7,315.08/x
  3. Step 3: Cross multiply
    12,980.48x = 17,911.74 × 7,315.08
  4. Step 4: Simplify right side
    12,980.48x = 131,025,811.04
  5. Step 5: Solve for x
    x = 131,025,811.04/12,980.48
  6. Step 6: Final answer
    x = 10,094.07

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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.