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Finding the Fourth Proportional to 14,569.74, 20,112.75 and 11,211.30

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Solution

The fourth proportional to 14,569.74, 20,112.75 and 11,211.30 is: 15,476.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569.74 : 20,112.75 = 11,211.30 : x
  2. Step 2: Convert to fraction form
    14,569.74/20,112.75 = 11,211.30/x
  3. Step 3: Cross multiply
    14,569.74x = 20,112.75 × 11,211.30
  4. Step 4: Simplify right side
    14,569.74x = 225,490,074.08
  5. Step 5: Solve for x
    x = 225,490,074.08/14,569.74
  6. Step 6: Final answer
    x = 15,476.60

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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.