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Finding the Fourth Proportional to 14,456.46, 21,677.31 and 6,658.50

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Solution

The fourth proportional to 14,456.46, 21,677.31 and 6,658.50 is: 9,984.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.46 : 21,677.31 = 6,658.50 : x
  2. Step 2: Convert to fraction form
    14,456.46/21,677.31 = 6,658.50/x
  3. Step 3: Cross multiply
    14,456.46x = 21,677.31 × 6,658.50
  4. Step 4: Simplify right side
    14,456.46x = 144,338,368.64
  5. Step 5: Solve for x
    x = 144,338,368.64/14,456.46
  6. Step 6: Final answer
    x = 9,984.35

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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.