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Finding the Fourth Proportional to 15,314.50, 21,134.02 and 8,690.50

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Solution

The fourth proportional to 15,314.50, 21,134.02 and 8,690.50 is: 11,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.50 : 21,134.02 = 8,690.50 : x
  2. Step 2: Convert to fraction form
    15,314.50/21,134.02 = 8,690.50/x
  3. Step 3: Cross multiply
    15,314.50x = 21,134.02 × 8,690.50
  4. Step 4: Simplify right side
    15,314.50x = 183,665,200.81
  5. Step 5: Solve for x
    x = 183,665,200.81/15,314.50
  6. Step 6: Final answer
    x = 11,992.90

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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.