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Finding the Fourth Proportional to 16,567.56, 24,850.53 and 6,178.50

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Solution

The fourth proportional to 16,567.56, 24,850.53 and 6,178.50 is: 9,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,567.56 : 24,850.53 = 6,178.50 : x
  2. Step 2: Convert to fraction form
    16,567.56/24,850.53 = 6,178.50/x
  3. Step 3: Cross multiply
    16,567.56x = 24,850.53 × 6,178.50
  4. Step 4: Simplify right side
    16,567.56x = 153,538,999.61
  5. Step 5: Solve for x
    x = 153,538,999.61/16,567.56
  6. Step 6: Final answer
    x = 9,267.45

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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.