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Finding the Fourth Proportional to 16,466.40, 24,698.52 and 4,780.80

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Solution

The fourth proportional to 16,466.40, 24,698.52 and 4,780.80 is: 7,170.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466.40 : 24,698.52 = 4,780.80 : x
  2. Step 2: Convert to fraction form
    16,466.40/24,698.52 = 4,780.80/x
  3. Step 3: Cross multiply
    16,466.40x = 24,698.52 × 4,780.80
  4. Step 4: Simplify right side
    16,466.40x = 118,078,684.42
  5. Step 5: Solve for x
    x = 118,078,684.42/16,466.40
  6. Step 6: Final answer
    x = 7,170.89

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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.