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Finding the Fourth Proportional to 21,002.72, 31,509.92 and 9,157.53

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Solution

The fourth proportional to 21,002.72, 31,509.92 and 9,157.53 is: 13,738.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.72 : 31,509.92 = 9,157.53 : x
  2. Step 2: Convert to fraction form
    21,002.72/31,509.92 = 9,157.53/x
  3. Step 3: Cross multiply
    21,002.72x = 31,509.92 × 9,157.53
  4. Step 4: Simplify right side
    21,002.72x = 288,553,060.59
  5. Step 5: Solve for x
    x = 288,553,060.59/21,002.72
  6. Step 6: Final answer
    x = 13,738.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.