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Finding the Fourth Proportional to 15,814.40, 23,756.80 and 13,222.40

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Solution

The fourth proportional to 15,814.40, 23,756.80 and 13,222.40 is: 19,863.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.40 : 23,756.80 = 13,222.40 : x
  2. Step 2: Convert to fraction form
    15,814.40/23,756.80 = 13,222.40/x
  3. Step 3: Cross multiply
    15,814.40x = 23,756.80 × 13,222.40
  4. Step 4: Simplify right side
    15,814.40x = 314,121,912.32
  5. Step 5: Solve for x
    x = 314,121,912.32/15,814.40
  6. Step 6: Final answer
    x = 19,863.03

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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.