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Finding the Fourth Proportional to 15,829.50, 21,819.36 and 10,723.46

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Solution

The fourth proportional to 15,829.50, 21,819.36 and 10,723.46 is: 14,781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,829.50 : 21,819.36 = 10,723.46 : x
  2. Step 2: Convert to fraction form
    15,829.50/21,819.36 = 10,723.46/x
  3. Step 3: Cross multiply
    15,829.50x = 21,819.36 × 10,723.46
  4. Step 4: Simplify right side
    15,829.50x = 233,978,993.51
  5. Step 5: Solve for x
    x = 233,978,993.51/15,829.50
  6. Step 6: Final answer
    x = 14,781.20

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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.