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Finding the Fourth Proportional to 16,455.88, 22,703.50 and 9,377.24

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Solution

The fourth proportional to 16,455.88, 22,703.50 and 9,377.24 is: 12,937.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,455.88 : 22,703.50 = 9,377.24 : x
  2. Step 2: Convert to fraction form
    16,455.88/22,703.50 = 9,377.24/x
  3. Step 3: Cross multiply
    16,455.88x = 22,703.50 × 9,377.24
  4. Step 4: Simplify right side
    16,455.88x = 212,896,168.34
  5. Step 5: Solve for x
    x = 212,896,168.34/16,455.88
  6. Step 6: Final answer
    x = 12,937.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.