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Finding the Fourth Proportional to 17,446.83, 24,075.93 and 9,489.05

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Solution

The fourth proportional to 17,446.83, 24,075.93 and 9,489.05 is: 13,094.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,446.83 : 24,075.93 = 9,489.05 : x
  2. Step 2: Convert to fraction form
    17,446.83/24,075.93 = 9,489.05/x
  3. Step 3: Cross multiply
    17,446.83x = 24,075.93 × 9,489.05
  4. Step 4: Simplify right side
    17,446.83x = 228,457,709.06
  5. Step 5: Solve for x
    x = 228,457,709.06/17,446.83
  6. Step 6: Final answer
    x = 13,094.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.