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Finding the Fourth Proportional to 23,584.32, 32,542.02 and 14,027.40

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Solution

The fourth proportional to 23,584.32, 32,542.02 and 14,027.40 is: 19,355.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,584.32 : 32,542.02 = 14,027.40 : x
  2. Step 2: Convert to fraction form
    23,584.32/32,542.02 = 14,027.40/x
  3. Step 3: Cross multiply
    23,584.32x = 32,542.02 × 14,027.40
  4. Step 4: Simplify right side
    23,584.32x = 456,479,931.35
  5. Step 5: Solve for x
    x = 456,479,931.35/23,584.32
  6. Step 6: Final answer
    x = 19,355.23

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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.