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Finding the Fourth Proportional to 14,257.56, 21,369 and 10,098.78

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Solution

The fourth proportional to 14,257.56, 21,369 and 10,098.78 is: 15,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.56 : 21,369 = 10,098.78 : x
  2. Step 2: Convert to fraction form
    14,257.56/21,369 = 10,098.78/x
  3. Step 3: Cross multiply
    14,257.56x = 21,369 × 10,098.78
  4. Step 4: Simplify right side
    14,257.56x = 215,800,829.82
  5. Step 5: Solve for x
    x = 215,800,829.82/14,257.56
  6. Step 6: Final answer
    x = 15,135.89

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