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Finding the Fourth Proportional to 17,707.72, 24,437.34 and 9,750.67

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Solution

The fourth proportional to 17,707.72, 24,437.34 and 9,750.67 is: 13,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,707.72 : 24,437.34 = 9,750.67 : x
  2. Step 2: Convert to fraction form
    17,707.72/24,437.34 = 9,750.67/x
  3. Step 3: Cross multiply
    17,707.72x = 24,437.34 × 9,750.67
  4. Step 4: Simplify right side
    17,707.72x = 238,280,438.02
  5. Step 5: Solve for x
    x = 238,280,438.02/17,707.72
  6. Step 6: Final answer
    x = 13,456.30

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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.