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Finding the Fourth Proportional to 23,267.10, 32,108.22 and 12,657

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Solution

The fourth proportional to 23,267.10, 32,108.22 and 12,657 is: 17,466.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,267.10 : 32,108.22 = 12,657 : x
  2. Step 2: Convert to fraction form
    23,267.10/32,108.22 = 12,657/x
  3. Step 3: Cross multiply
    23,267.10x = 32,108.22 × 12,657
  4. Step 4: Simplify right side
    23,267.10x = 406,393,740.54
  5. Step 5: Solve for x
    x = 406,393,740.54/23,267.10
  6. Step 6: Final answer
    x = 17,466.45

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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.