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Finding the Fourth Proportional to 14,691, 22,036.62 and 5,457

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Solution

The fourth proportional to 14,691, 22,036.62 and 5,457 is: 8,185.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691 : 22,036.62 = 5,457 : x
  2. Step 2: Convert to fraction form
    14,691/22,036.62 = 5,457/x
  3. Step 3: Cross multiply
    14,691x = 22,036.62 × 5,457
  4. Step 4: Simplify right side
    14,691x = 120,253,835.34
  5. Step 5: Solve for x
    x = 120,253,835.34/14,691
  6. Step 6: Final answer
    x = 8,185.54

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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.