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Finding the Fourth Proportional to 20,322.48, 30,457.72 and 10,459.92

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Solution

The fourth proportional to 20,322.48, 30,457.72 and 10,459.92 is: 15,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,322.48 : 30,457.72 = 10,459.92 : x
  2. Step 2: Convert to fraction form
    20,322.48/30,457.72 = 10,459.92/x
  3. Step 3: Cross multiply
    20,322.48x = 30,457.72 × 10,459.92
  4. Step 4: Simplify right side
    20,322.48x = 318,585,314.58
  5. Step 5: Solve for x
    x = 318,585,314.58/20,322.48
  6. Step 6: Final answer
    x = 15,676.50

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Why These Related Problems?

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