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Finding the Fourth Proportional to 16,353.60, 24,530.62 and 4,666.82

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Solution

The fourth proportional to 16,353.60, 24,530.62 and 4,666.82 is: 7,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,353.60 : 24,530.62 = 4,666.82 : x
  2. Step 2: Convert to fraction form
    16,353.60/24,530.62 = 4,666.82/x
  3. Step 3: Cross multiply
    16,353.60x = 24,530.62 × 4,666.82
  4. Step 4: Simplify right side
    16,353.60x = 114,479,988.03
  5. Step 5: Solve for x
    x = 114,479,988.03/16,353.60
  6. Step 6: Final answer
    x = 7,000.29

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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.