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Finding the Fourth Proportional to 17,446.57, 24,076.47 and 9,488.98

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Solution

The fourth proportional to 17,446.57, 24,076.47 and 9,488.98 is: 13,094.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,446.57 : 24,076.47 = 9,488.98 : x
  2. Step 2: Convert to fraction form
    17,446.57/24,076.47 = 9,488.98/x
  3. Step 3: Cross multiply
    17,446.57x = 24,076.47 × 9,488.98
  4. Step 4: Simplify right side
    17,446.57x = 228,461,142.30
  5. Step 5: Solve for x
    x = 228,461,142.30/17,446.57
  6. Step 6: Final answer
    x = 13,094.90

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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.