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Finding the Fourth Proportional to 17,234.86, 23,784.01 and 9,681.30

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Solution

The fourth proportional to 17,234.86, 23,784.01 and 9,681.30 is: 13,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,234.86 : 23,784.01 = 9,681.30 : x
  2. Step 2: Convert to fraction form
    17,234.86/23,784.01 = 9,681.30/x
  3. Step 3: Cross multiply
    17,234.86x = 23,784.01 × 9,681.30
  4. Step 4: Simplify right side
    17,234.86x = 230,260,136.01
  5. Step 5: Solve for x
    x = 230,260,136.01/17,234.86
  6. Step 6: Final answer
    x = 13,360.14

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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.