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Finding the Fourth Proportional to 16,544.02, 22,834 and 9,475.14

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Solution

The fourth proportional to 16,544.02, 22,834 and 9,475.14 is: 13,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.02 : 22,834 = 9,475.14 : x
  2. Step 2: Convert to fraction form
    16,544.02/22,834 = 9,475.14/x
  3. Step 3: Cross multiply
    16,544.02x = 22,834 × 9,475.14
  4. Step 4: Simplify right side
    16,544.02x = 216,355,346.76
  5. Step 5: Solve for x
    x = 216,355,346.76/16,544.02
  6. Step 6: Final answer
    x = 13,077.56

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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.