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Finding the Fourth Proportional to 15,728.72, 21,703.83 and 9,012.50

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Solution

The fourth proportional to 15,728.72, 21,703.83 and 9,012.50 is: 12,436.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.72 : 21,703.83 = 9,012.50 : x
  2. Step 2: Convert to fraction form
    15,728.72/21,703.83 = 9,012.50/x
  3. Step 3: Cross multiply
    15,728.72x = 21,703.83 × 9,012.50
  4. Step 4: Simplify right side
    15,728.72x = 195,605,767.88
  5. Step 5: Solve for x
    x = 195,605,767.88/15,728.72
  6. Step 6: Final answer
    x = 12,436.22

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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.