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Finding the Fourth Proportional to 17,898.64, 24,700.08 and 10,446.64

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Solution

The fourth proportional to 17,898.64, 24,700.08 and 10,446.64 is: 14,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,898.64 : 24,700.08 = 10,446.64 : x
  2. Step 2: Convert to fraction form
    17,898.64/24,700.08 = 10,446.64/x
  3. Step 3: Cross multiply
    17,898.64x = 24,700.08 × 10,446.64
  4. Step 4: Simplify right side
    17,898.64x = 258,032,843.73
  5. Step 5: Solve for x
    x = 258,032,843.73/17,898.64
  6. Step 6: Final answer
    x = 14,416.34

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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.