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Finding the Fourth Proportional to 23,515.39, 32,451.87 and 12,905.40

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Solution

The fourth proportional to 23,515.39, 32,451.87 and 12,905.40 is: 17,809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,515.39 : 32,451.87 = 12,905.40 : x
  2. Step 2: Convert to fraction form
    23,515.39/32,451.87 = 12,905.40/x
  3. Step 3: Cross multiply
    23,515.39x = 32,451.87 × 12,905.40
  4. Step 4: Simplify right side
    23,515.39x = 418,804,363.10
  5. Step 5: Solve for x
    x = 418,804,363.10/23,515.39
  6. Step 6: Final answer
    x = 17,809.80

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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.