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Finding the Fourth Proportional to 16,210.16, 24,290.94 and 12,506.84

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Solution

The fourth proportional to 16,210.16, 24,290.94 and 12,506.84 is: 18,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,210.16 : 24,290.94 = 12,506.84 : x
  2. Step 2: Convert to fraction form
    16,210.16/24,290.94 = 12,506.84/x
  3. Step 3: Cross multiply
    16,210.16x = 24,290.94 × 12,506.84
  4. Step 4: Simplify right side
    16,210.16x = 303,802,900.03
  5. Step 5: Solve for x
    x = 303,802,900.03/16,210.16
  6. Step 6: Final answer
    x = 18,741.51

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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.