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Finding the Fourth Proportional to 23,385.32, 32,271.21 and 12,775

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Solution

The fourth proportional to 23,385.32, 32,271.21 and 12,775 is: 17,629.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,385.32 : 32,271.21 = 12,775 : x
  2. Step 2: Convert to fraction form
    23,385.32/32,271.21 = 12,775/x
  3. Step 3: Cross multiply
    23,385.32x = 32,271.21 × 12,775
  4. Step 4: Simplify right side
    23,385.32x = 412,264,707.75
  5. Step 5: Solve for x
    x = 412,264,707.75/23,385.32
  6. Step 6: Final answer
    x = 17,629.21

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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.