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Finding the Fourth Proportional to 23,504.82, 32,437.16 and 12,894.45

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Solution

The fourth proportional to 23,504.82, 32,437.16 and 12,894.45 is: 17,794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,504.82 : 32,437.16 = 12,894.45 : x
  2. Step 2: Convert to fraction form
    23,504.82/32,437.16 = 12,894.45/x
  3. Step 3: Cross multiply
    23,504.82x = 32,437.16 × 12,894.45
  4. Step 4: Simplify right side
    23,504.82x = 418,259,337.76
  5. Step 5: Solve for x
    x = 418,259,337.76/23,504.82
  6. Step 6: Final answer
    x = 17,794.62

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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.