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Finding the Fourth Proportional to 16,461, 24,691.77 and 4,775.40

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Solution

The fourth proportional to 16,461, 24,691.77 and 4,775.40 is: 7,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461 : 24,691.77 = 4,775.40 : x
  2. Step 2: Convert to fraction form
    16,461/24,691.77 = 4,775.40/x
  3. Step 3: Cross multiply
    16,461x = 24,691.77 × 4,775.40
  4. Step 4: Simplify right side
    16,461x = 117,913,078.46
  5. Step 5: Solve for x
    x = 117,913,078.46/16,461
  6. Step 6: Final answer
    x = 7,163.18

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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.