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Finding the Fourth Proportional to 15,116.94, 20,861.40 and 8,402.40

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Solution

The fourth proportional to 15,116.94, 20,861.40 and 8,402.40 is: 11,595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,116.94 : 20,861.40 = 8,402.40 : x
  2. Step 2: Convert to fraction form
    15,116.94/20,861.40 = 8,402.40/x
  3. Step 3: Cross multiply
    15,116.94x = 20,861.40 × 8,402.40
  4. Step 4: Simplify right side
    15,116.94x = 175,285,827.36
  5. Step 5: Solve for x
    x = 175,285,827.36/15,116.94
  6. Step 6: Final answer
    x = 11,595.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.