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Finding the Fourth Proportional to 23,533.50, 32,476.23 and 12,923.31

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Solution

The fourth proportional to 23,533.50, 32,476.23 and 12,923.31 is: 17,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.50 : 32,476.23 = 12,923.31 : x
  2. Step 2: Convert to fraction form
    23,533.50/32,476.23 = 12,923.31/x
  3. Step 3: Cross multiply
    23,533.50x = 32,476.23 × 12,923.31
  4. Step 4: Simplify right side
    23,533.50x = 419,700,387.92
  5. Step 5: Solve for x
    x = 419,700,387.92/23,533.50
  6. Step 6: Final answer
    x = 17,834.17

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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.