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Finding the Fourth Proportional to 17,693.34, 24,417.66 and 9,735.72

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Solution

The fourth proportional to 17,693.34, 24,417.66 and 9,735.72 is: 13,435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,693.34 : 24,417.66 = 9,735.72 : x
  2. Step 2: Convert to fraction form
    17,693.34/24,417.66 = 9,735.72/x
  3. Step 3: Cross multiply
    17,693.34x = 24,417.66 × 9,735.72
  4. Step 4: Simplify right side
    17,693.34x = 237,723,500.82
  5. Step 5: Solve for x
    x = 237,723,500.82/17,693.34
  6. Step 6: Final answer
    x = 13,435.76

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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.