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Finding the Fourth Proportional to 15,980.13, 23,970.39 and 6,120

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Solution

The fourth proportional to 15,980.13, 23,970.39 and 6,120 is: 9,180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,980.13 : 23,970.39 = 6,120 : x
  2. Step 2: Convert to fraction form
    15,980.13/23,970.39 = 6,120/x
  3. Step 3: Cross multiply
    15,980.13x = 23,970.39 × 6,120
  4. Step 4: Simplify right side
    15,980.13x = 146,698,786.80
  5. Step 5: Solve for x
    x = 146,698,786.80/15,980.13
  6. Step 6: Final answer
    x = 9,180.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.