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Finding the Fourth Proportional to 20,459.29, 30,688.94 and 6,421.49

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Solution

The fourth proportional to 20,459.29, 30,688.94 and 6,421.49 is: 9,632.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,459.29 : 30,688.94 = 6,421.49 : x
  2. Step 2: Convert to fraction form
    20,459.29/30,688.94 = 6,421.49/x
  3. Step 3: Cross multiply
    20,459.29x = 30,688.94 × 6,421.49
  4. Step 4: Simplify right side
    20,459.29x = 197,068,535.77
  5. Step 5: Solve for x
    x = 197,068,535.77/20,459.29
  6. Step 6: Final answer
    x = 9,632.23

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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.