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Finding the Fourth Proportional to 16,380.09, 24,569.12 and 8,051.72

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Solution

The fourth proportional to 16,380.09, 24,569.12 and 8,051.72 is: 12,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380.09 : 24,569.12 = 8,051.72 : x
  2. Step 2: Convert to fraction form
    16,380.09/24,569.12 = 8,051.72/x
  3. Step 3: Cross multiply
    16,380.09x = 24,569.12 × 8,051.72
  4. Step 4: Simplify right side
    16,380.09x = 197,823,572.17
  5. Step 5: Solve for x
    x = 197,823,572.17/16,380.09
  6. Step 6: Final answer
    x = 12,077.07

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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.