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Finding the Fourth Proportional to 16,576.84, 22,875.57 and 9,023.01

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Solution

The fourth proportional to 16,576.84, 22,875.57 and 9,023.01 is: 12,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,576.84 : 22,875.57 = 9,023.01 : x
  2. Step 2: Convert to fraction form
    16,576.84/22,875.57 = 9,023.01/x
  3. Step 3: Cross multiply
    16,576.84x = 22,875.57 × 9,023.01
  4. Step 4: Simplify right side
    16,576.84x = 206,406,496.87
  5. Step 5: Solve for x
    x = 206,406,496.87/16,576.84
  6. Step 6: Final answer
    x = 12,451.50

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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.