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Finding the Fourth Proportional to 16,416.95, 24,637.57 and 12,209.81

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Solution

The fourth proportional to 16,416.95, 24,637.57 and 12,209.81 is: 18,323.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.95 : 24,637.57 = 12,209.81 : x
  2. Step 2: Convert to fraction form
    16,416.95/24,637.57 = 12,209.81/x
  3. Step 3: Cross multiply
    16,416.95x = 24,637.57 × 12,209.81
  4. Step 4: Simplify right side
    16,416.95x = 300,819,894.85
  5. Step 5: Solve for x
    x = 300,819,894.85/16,416.95
  6. Step 6: Final answer
    x = 18,323.74

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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.