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Finding the Fourth Proportional to 16,268.70, 24,411.15 and 9,254.10

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Solution

The fourth proportional to 16,268.70, 24,411.15 and 9,254.10 is: 13,885.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,268.70 : 24,411.15 = 9,254.10 : x
  2. Step 2: Convert to fraction form
    16,268.70/24,411.15 = 9,254.10/x
  3. Step 3: Cross multiply
    16,268.70x = 24,411.15 × 9,254.10
  4. Step 4: Simplify right side
    16,268.70x = 225,903,223.22
  5. Step 5: Solve for x
    x = 225,903,223.22/16,268.70
  6. Step 6: Final answer
    x = 13,885.76

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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.