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Finding the Fourth Proportional to 17,647.89, 24,354.10 and 9,581.53

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Solution

The fourth proportional to 17,647.89, 24,354.10 and 9,581.53 is: 13,222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.89 : 24,354.10 = 9,581.53 : x
  2. Step 2: Convert to fraction form
    17,647.89/24,354.10 = 9,581.53/x
  3. Step 3: Cross multiply
    17,647.89x = 24,354.10 × 9,581.53
  4. Step 4: Simplify right side
    17,647.89x = 233,349,539.77
  5. Step 5: Solve for x
    x = 233,349,539.77/17,647.89
  6. Step 6: Final answer
    x = 13,222.52

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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.