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Finding the Fourth Proportional to 16,146.65, 24,194.39 and 12,457.91

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Solution

The fourth proportional to 16,146.65, 24,194.39 and 12,457.91 is: 18,667.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146.65 : 24,194.39 = 12,457.91 : x
  2. Step 2: Convert to fraction form
    16,146.65/24,194.39 = 12,457.91/x
  3. Step 3: Cross multiply
    16,146.65x = 24,194.39 × 12,457.91
  4. Step 4: Simplify right side
    16,146.65x = 301,411,533.12
  5. Step 5: Solve for x
    x = 301,411,533.12/16,146.65
  6. Step 6: Final answer
    x = 18,667.12

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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.