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Finding the Fourth Proportional to 16,538.62, 22,814.20 and 10,477.76

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Solution

The fourth proportional to 16,538.62, 22,814.20 and 10,477.76 is: 14,453.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.62 : 22,814.20 = 10,477.76 : x
  2. Step 2: Convert to fraction form
    16,538.62/22,814.20 = 10,477.76/x
  3. Step 3: Cross multiply
    16,538.62x = 22,814.20 × 10,477.76
  4. Step 4: Simplify right side
    16,538.62x = 239,041,712.19
  5. Step 5: Solve for x
    x = 239,041,712.19/16,538.62
  6. Step 6: Final answer
    x = 14,453.55

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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.