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Finding the Fourth Proportional to 16,402.02, 24,606.63 and 5,309.85

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Solution

The fourth proportional to 16,402.02, 24,606.63 and 5,309.85 is: 7,965.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.02 : 24,606.63 = 5,309.85 : x
  2. Step 2: Convert to fraction form
    16,402.02/24,606.63 = 5,309.85/x
  3. Step 3: Cross multiply
    16,402.02x = 24,606.63 × 5,309.85
  4. Step 4: Simplify right side
    16,402.02x = 130,657,514.31
  5. Step 5: Solve for x
    x = 130,657,514.31/16,402.02
  6. Step 6: Final answer
    x = 7,965.94

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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.