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Finding the Fourth Proportional to 20,457.12, 30,675.98 and 7,125.46

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Solution

The fourth proportional to 20,457.12, 30,675.98 and 7,125.46 is: 10,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,457.12 : 30,675.98 = 7,125.46 : x
  2. Step 2: Convert to fraction form
    20,457.12/30,675.98 = 7,125.46/x
  3. Step 3: Cross multiply
    20,457.12x = 30,675.98 × 7,125.46
  4. Step 4: Simplify right side
    20,457.12x = 218,580,582.13
  5. Step 5: Solve for x
    x = 218,580,582.13/20,457.12
  6. Step 6: Final answer
    x = 10,684.82

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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.