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Finding the Fourth Proportional to 23,130.64, 31,923.54 and 13,063.12

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Solution

The fourth proportional to 23,130.64, 31,923.54 and 13,063.12 is: 18,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,130.64 : 31,923.54 = 13,063.12 : x
  2. Step 2: Convert to fraction form
    23,130.64/31,923.54 = 13,063.12/x
  3. Step 3: Cross multiply
    23,130.64x = 31,923.54 × 13,063.12
  4. Step 4: Simplify right side
    23,130.64x = 417,021,033.84
  5. Step 5: Solve for x
    x = 417,021,033.84/23,130.64
  6. Step 6: Final answer
    x = 18,028.94

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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.