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Finding the Fourth Proportional to 12,457.32, 18,675.06 and 5,885.40

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Solution

The fourth proportional to 12,457.32, 18,675.06 and 5,885.40 is: 8,822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.32 : 18,675.06 = 5,885.40 : x
  2. Step 2: Convert to fraction form
    12,457.32/18,675.06 = 5,885.40/x
  3. Step 3: Cross multiply
    12,457.32x = 18,675.06 × 5,885.40
  4. Step 4: Simplify right side
    12,457.32x = 109,910,198.12
  5. Step 5: Solve for x
    x = 109,910,198.12/12,457.32
  6. Step 6: Final answer
    x = 8,822.94

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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.