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Finding the Fourth Proportional to 16,466.76, 24,701.76 and 6,076.08

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Solution

The fourth proportional to 16,466.76, 24,701.76 and 6,076.08 is: 9,114.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466.76 : 24,701.76 = 6,076.08 : x
  2. Step 2: Convert to fraction form
    16,466.76/24,701.76 = 6,076.08/x
  3. Step 3: Cross multiply
    16,466.76x = 24,701.76 × 6,076.08
  4. Step 4: Simplify right side
    16,466.76x = 150,089,869.90
  5. Step 5: Solve for x
    x = 150,089,869.90/16,466.76
  6. Step 6: Final answer
    x = 9,114.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.