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Finding the Fourth Proportional to 16,146.15, 24,193.64 and 12,457.41

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Solution

The fourth proportional to 16,146.15, 24,193.64 and 12,457.41 is: 18,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146.15 : 24,193.64 = 12,457.41 : x
  2. Step 2: Convert to fraction form
    16,146.15/24,193.64 = 12,457.41/x
  3. Step 3: Cross multiply
    16,146.15x = 24,193.64 × 12,457.41
  4. Step 4: Simplify right side
    16,146.15x = 301,390,124.02
  5. Step 5: Solve for x
    x = 301,390,124.02/16,146.15
  6. Step 6: Final answer
    x = 18,666.38

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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.