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Finding the Fourth Proportional to 16,965.34, 25,457.73 and 9,475.18

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Solution

The fourth proportional to 16,965.34, 25,457.73 and 9,475.18 is: 14,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965.34 : 25,457.73 = 9,475.18 : x
  2. Step 2: Convert to fraction form
    16,965.34/25,457.73 = 9,475.18/x
  3. Step 3: Cross multiply
    16,965.34x = 25,457.73 × 9,475.18
  4. Step 4: Simplify right side
    16,965.34x = 241,216,574.14
  5. Step 5: Solve for x
    x = 241,216,574.14/16,965.34
  6. Step 6: Final answer
    x = 14,218.20

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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.