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Finding the Fourth Proportional to 14,916.59, 20,585.37 and 8,202.50

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Solution

The fourth proportional to 14,916.59, 20,585.37 and 8,202.50 is: 11,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,916.59 : 20,585.37 = 8,202.50 : x
  2. Step 2: Convert to fraction form
    14,916.59/20,585.37 = 8,202.50/x
  3. Step 3: Cross multiply
    14,916.59x = 20,585.37 × 8,202.50
  4. Step 4: Simplify right side
    14,916.59x = 168,851,497.43
  5. Step 5: Solve for x
    x = 168,851,497.43/14,916.59
  6. Step 6: Final answer
    x = 11,319.71

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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.