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Finding the Fourth Proportional to 23,267.33, 32,108.77 and 12,657

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Solution

The fourth proportional to 23,267.33, 32,108.77 and 12,657 is: 17,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,267.33 : 32,108.77 = 12,657 : x
  2. Step 2: Convert to fraction form
    23,267.33/32,108.77 = 12,657/x
  3. Step 3: Cross multiply
    23,267.33x = 32,108.77 × 12,657
  4. Step 4: Simplify right side
    23,267.33x = 406,400,701.89
  5. Step 5: Solve for x
    x = 406,400,701.89/23,267.33
  6. Step 6: Final answer
    x = 17,466.58

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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.