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Finding the Fourth Proportional to 16,289.46, 24,434.11 and 4,602.64

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Solution

The fourth proportional to 16,289.46, 24,434.11 and 4,602.64 is: 6,903.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.46 : 24,434.11 = 4,602.64 : x
  2. Step 2: Convert to fraction form
    16,289.46/24,434.11 = 4,602.64/x
  3. Step 3: Cross multiply
    16,289.46x = 24,434.11 × 4,602.64
  4. Step 4: Simplify right side
    16,289.46x = 112,461,412.05
  5. Step 5: Solve for x
    x = 112,461,412.05/16,289.46
  6. Step 6: Final answer
    x = 6,903.94

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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.