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Finding the Fourth Proportional to 10,923.36, 16,458.72 and 9,018.24

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Solution

The fourth proportional to 10,923.36, 16,458.72 and 9,018.24 is: 13,588.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.36 : 16,458.72 = 9,018.24 : x
  2. Step 2: Convert to fraction form
    10,923.36/16,458.72 = 9,018.24/x
  3. Step 3: Cross multiply
    10,923.36x = 16,458.72 × 9,018.24
  4. Step 4: Simplify right side
    10,923.36x = 148,428,687.05
  5. Step 5: Solve for x
    x = 148,428,687.05/10,923.36
  6. Step 6: Final answer
    x = 13,588.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.