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Finding the Fourth Proportional to 16,575.36, 22,872.96 and 9,123.36

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Solution

The fourth proportional to 16,575.36, 22,872.96 and 9,123.36 is: 12,589.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,575.36 : 22,872.96 = 9,123.36 : x
  2. Step 2: Convert to fraction form
    16,575.36/22,872.96 = 9,123.36/x
  3. Step 3: Cross multiply
    16,575.36x = 22,872.96 × 9,123.36
  4. Step 4: Simplify right side
    16,575.36x = 208,678,248.35
  5. Step 5: Solve for x
    x = 208,678,248.35/16,575.36
  6. Step 6: Final answer
    x = 12,589.67

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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.