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Finding the Fourth Proportional to 16,457.63, 24,689.02 and 5,361.74

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Solution

The fourth proportional to 16,457.63, 24,689.02 and 5,361.74 is: 8,043.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.63 : 24,689.02 = 5,361.74 : x
  2. Step 2: Convert to fraction form
    16,457.63/24,689.02 = 5,361.74/x
  3. Step 3: Cross multiply
    16,457.63x = 24,689.02 × 5,361.74
  4. Step 4: Simplify right side
    16,457.63x = 132,376,154.41
  5. Step 5: Solve for x
    x = 132,376,154.41/16,457.63
  6. Step 6: Final answer
    x = 8,043.45

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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.