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Finding the Fourth Proportional to 23,281.89, 32,128 and 12,671.56

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Solution

The fourth proportional to 23,281.89, 32,128 and 12,671.56 is: 17,486.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,281.89 : 32,128 = 12,671.56 : x
  2. Step 2: Convert to fraction form
    23,281.89/32,128 = 12,671.56/x
  3. Step 3: Cross multiply
    23,281.89x = 32,128 × 12,671.56
  4. Step 4: Simplify right side
    23,281.89x = 407,111,879.68
  5. Step 5: Solve for x
    x = 407,111,879.68/23,281.89
  6. Step 6: Final answer
    x = 17,486.20

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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.