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Finding the Fourth Proportional to 16,510.24, 22,783.44 and 9,057.76

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Solution

The fourth proportional to 16,510.24, 22,783.44 and 9,057.76 is: 12,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,510.24 : 22,783.44 = 9,057.76 : x
  2. Step 2: Convert to fraction form
    16,510.24/22,783.44 = 9,057.76/x
  3. Step 3: Cross multiply
    16,510.24x = 22,783.44 × 9,057.76
  4. Step 4: Simplify right side
    16,510.24x = 206,366,931.49
  5. Step 5: Solve for x
    x = 206,366,931.49/16,510.24
  6. Step 6: Final answer
    x = 12,499.33

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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.