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Finding the Fourth Proportional to 16,430.76, 24,642.30 and 5,334.60

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Solution

The fourth proportional to 16,430.76, 24,642.30 and 5,334.60 is: 8,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430.76 : 24,642.30 = 5,334.60 : x
  2. Step 2: Convert to fraction form
    16,430.76/24,642.30 = 5,334.60/x
  3. Step 3: Cross multiply
    16,430.76x = 24,642.30 × 5,334.60
  4. Step 4: Simplify right side
    16,430.76x = 131,456,813.58
  5. Step 5: Solve for x
    x = 131,456,813.58/16,430.76
  6. Step 6: Final answer
    x = 8,000.65

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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.