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Finding the Fourth Proportional to 16,580.16, 24,881.16 and 7,817.56

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Solution

The fourth proportional to 16,580.16, 24,881.16 and 7,817.56 is: 11,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.16 : 24,881.16 = 7,817.56 : x
  2. Step 2: Convert to fraction form
    16,580.16/24,881.16 = 7,817.56/x
  3. Step 3: Cross multiply
    16,580.16x = 24,881.16 × 7,817.56
  4. Step 4: Simplify right side
    16,580.16x = 194,509,961.17
  5. Step 5: Solve for x
    x = 194,509,961.17/16,580.16
  6. Step 6: Final answer
    x = 11,731.49

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Why These Related Problems?

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