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Finding the Fourth Proportional to 16,205.83, 24,308.74 and 5,113.63

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Solution

The fourth proportional to 16,205.83, 24,308.74 and 5,113.63 is: 7,670.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205.83 : 24,308.74 = 5,113.63 : x
  2. Step 2: Convert to fraction form
    16,205.83/24,308.74 = 5,113.63/x
  3. Step 3: Cross multiply
    16,205.83x = 24,308.74 × 5,113.63
  4. Step 4: Simplify right side
    16,205.83x = 124,305,938.90
  5. Step 5: Solve for x
    x = 124,305,938.90/16,205.83
  6. Step 6: Final answer
    x = 7,670.45

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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.