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Finding the Fourth Proportional to 13,916.66, 20,875.30 and 8,374.64

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Solution

The fourth proportional to 13,916.66, 20,875.30 and 8,374.64 is: 12,562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,916.66 : 20,875.30 = 8,374.64 : x
  2. Step 2: Convert to fraction form
    13,916.66/20,875.30 = 8,374.64/x
  3. Step 3: Cross multiply
    13,916.66x = 20,875.30 × 8,374.64
  4. Step 4: Simplify right side
    13,916.66x = 174,822,997.08
  5. Step 5: Solve for x
    x = 174,822,997.08/13,916.66
  6. Step 6: Final answer
    x = 12,562.14

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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.