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Finding the Fourth Proportional to 17,446.21, 24,075.08 and 9,488.42

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Solution

The fourth proportional to 17,446.21, 24,075.08 and 9,488.42 is: 13,093.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,446.21 : 24,075.08 = 9,488.42 : x
  2. Step 2: Convert to fraction form
    17,446.21/24,075.08 = 9,488.42/x
  3. Step 3: Cross multiply
    17,446.21x = 24,075.08 × 9,488.42
  4. Step 4: Simplify right side
    17,446.21x = 228,434,423.13
  5. Step 5: Solve for x
    x = 228,434,423.13/17,446.21
  6. Step 6: Final answer
    x = 13,093.65

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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.