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Finding the Fourth Proportional to 20,561.46, 30,837.58 and 9,457.48

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Solution

The fourth proportional to 20,561.46, 30,837.58 and 9,457.48 is: 14,184.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,561.46 : 30,837.58 = 9,457.48 : x
  2. Step 2: Convert to fraction form
    20,561.46/30,837.58 = 9,457.48/x
  3. Step 3: Cross multiply
    20,561.46x = 30,837.58 × 9,457.48
  4. Step 4: Simplify right side
    20,561.46x = 291,645,748.81
  5. Step 5: Solve for x
    x = 291,645,748.81/20,561.46
  6. Step 6: Final answer
    x = 14,184.10

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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.