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Finding the Fourth Proportional to 16,784.40, 25,169.40 and 8,461.20

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Solution

The fourth proportional to 16,784.40, 25,169.40 and 8,461.20 is: 12,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,784.40 : 25,169.40 = 8,461.20 : x
  2. Step 2: Convert to fraction form
    16,784.40/25,169.40 = 8,461.20/x
  3. Step 3: Cross multiply
    16,784.40x = 25,169.40 × 8,461.20
  4. Step 4: Simplify right side
    16,784.40x = 212,963,327.28
  5. Step 5: Solve for x
    x = 212,963,327.28/16,784.40
  6. Step 6: Final answer
    x = 12,688.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.