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Finding the Fourth Proportional to 16,984.60, 23,432.30 and 12,519

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Solution

The fourth proportional to 16,984.60, 23,432.30 and 12,519 is: 17,271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,984.60 : 23,432.30 = 12,519 : x
  2. Step 2: Convert to fraction form
    16,984.60/23,432.30 = 12,519/x
  3. Step 3: Cross multiply
    16,984.60x = 23,432.30 × 12,519
  4. Step 4: Simplify right side
    16,984.60x = 293,348,963.70
  5. Step 5: Solve for x
    x = 293,348,963.70/16,984.60
  6. Step 6: Final answer
    x = 17,271.47

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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.