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Finding the Fourth Proportional to 16,402.83, 24,608.14 and 5,309.51

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Solution

The fourth proportional to 16,402.83, 24,608.14 and 5,309.51 is: 7,965.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.83 : 24,608.14 = 5,309.51 : x
  2. Step 2: Convert to fraction form
    16,402.83/24,608.14 = 5,309.51/x
  3. Step 3: Cross multiply
    16,402.83x = 24,608.14 × 5,309.51
  4. Step 4: Simplify right side
    16,402.83x = 130,657,266.59
  5. Step 5: Solve for x
    x = 130,657,266.59/16,402.83
  6. Step 6: Final answer
    x = 7,965.53

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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.