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Finding the Fourth Proportional to 23,562.60, 35,342.70 and 7,980.36

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Solution

The fourth proportional to 23,562.60, 35,342.70 and 7,980.36 is: 11,970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,562.60 : 35,342.70 = 7,980.36 : x
  2. Step 2: Convert to fraction form
    23,562.60/35,342.70 = 7,980.36/x
  3. Step 3: Cross multiply
    23,562.60x = 35,342.70 × 7,980.36
  4. Step 4: Simplify right side
    23,562.60x = 282,047,469.37
  5. Step 5: Solve for x
    x = 282,047,469.37/23,562.60
  6. Step 6: Final answer
    x = 11,970.13

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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.