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Finding the Fourth Proportional to 14,113.72, 21,124.74 and 10,414.42

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Solution

The fourth proportional to 14,113.72, 21,124.74 and 10,414.42 is: 15,587.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.72 : 21,124.74 = 10,414.42 : x
  2. Step 2: Convert to fraction form
    14,113.72/21,124.74 = 10,414.42/x
  3. Step 3: Cross multiply
    14,113.72x = 21,124.74 × 10,414.42
  4. Step 4: Simplify right side
    14,113.72x = 220,001,914.75
  5. Step 5: Solve for x
    x = 220,001,914.75/14,113.72
  6. Step 6: Final answer
    x = 15,587.80

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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.