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Finding the Fourth Proportional to 16,342.70, 24,518.16 and 4,655.88

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Solution

The fourth proportional to 16,342.70, 24,518.16 and 4,655.88 is: 6,984.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.70 : 24,518.16 = 4,655.88 : x
  2. Step 2: Convert to fraction form
    16,342.70/24,518.16 = 4,655.88/x
  3. Step 3: Cross multiply
    16,342.70x = 24,518.16 × 4,655.88
  4. Step 4: Simplify right side
    16,342.70x = 114,153,610.78
  5. Step 5: Solve for x
    x = 114,153,610.78/16,342.70
  6. Step 6: Final answer
    x = 6,984.99

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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.