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Finding the Fourth Proportional to 17,460.64, 24,096.30 and 9,907

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Solution

The fourth proportional to 17,460.64, 24,096.30 and 9,907 is: 13,672.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,460.64 : 24,096.30 = 9,907 : x
  2. Step 2: Convert to fraction form
    17,460.64/24,096.30 = 9,907/x
  3. Step 3: Cross multiply
    17,460.64x = 24,096.30 × 9,907
  4. Step 4: Simplify right side
    17,460.64x = 238,722,044.10
  5. Step 5: Solve for x
    x = 238,722,044.10/17,460.64
  6. Step 6: Final answer
    x = 13,672.01

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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.