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Finding the Fourth Proportional to 16,457.40, 24,691.86 and 4,771.32

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Solution

The fourth proportional to 16,457.40, 24,691.86 and 4,771.32 is: 7,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.40 : 24,691.86 = 4,771.32 : x
  2. Step 2: Convert to fraction form
    16,457.40/24,691.86 = 4,771.32/x
  3. Step 3: Cross multiply
    16,457.40x = 24,691.86 × 4,771.32
  4. Step 4: Simplify right side
    16,457.40x = 117,812,765.46
  5. Step 5: Solve for x
    x = 117,812,765.46/16,457.40
  6. Step 6: Final answer
    x = 7,158.65

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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.