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Finding the Fourth Proportional to 15,709.40, 23,564.10 and 6,939.80

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Solution

The fourth proportional to 15,709.40, 23,564.10 and 6,939.80 is: 10,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,709.40 : 23,564.10 = 6,939.80 : x
  2. Step 2: Convert to fraction form
    15,709.40/23,564.10 = 6,939.80/x
  3. Step 3: Cross multiply
    15,709.40x = 23,564.10 × 6,939.80
  4. Step 4: Simplify right side
    15,709.40x = 163,530,141.18
  5. Step 5: Solve for x
    x = 163,530,141.18/15,709.40
  6. Step 6: Final answer
    x = 10,409.70

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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.