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Finding the Fourth Proportional to 15,306.16, 21,122.76 and 8,500

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Solution

The fourth proportional to 15,306.16, 21,122.76 and 8,500 is: 11,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,306.16 : 21,122.76 = 8,500 : x
  2. Step 2: Convert to fraction form
    15,306.16/21,122.76 = 8,500/x
  3. Step 3: Cross multiply
    15,306.16x = 21,122.76 × 8,500
  4. Step 4: Simplify right side
    15,306.16x = 179,543,460
  5. Step 5: Solve for x
    x = 179,543,460/15,306.16
  6. Step 6: Final answer
    x = 11,730.14

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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.