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Finding the Fourth Proportional to 16,402.14, 24,597.05 and 5,305.86

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Solution

The fourth proportional to 16,402.14, 24,597.05 and 5,305.86 is: 7,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.14 : 24,597.05 = 5,305.86 : x
  2. Step 2: Convert to fraction form
    16,402.14/24,597.05 = 5,305.86/x
  3. Step 3: Cross multiply
    16,402.14x = 24,597.05 × 5,305.86
  4. Step 4: Simplify right side
    16,402.14x = 130,508,477.18
  5. Step 5: Solve for x
    x = 130,508,477.18/16,402.14
  6. Step 6: Final answer
    x = 7,956.80

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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.