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Finding the Fourth Proportional to 14,677.80, 22,016.70 and 9,148.20

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Solution

The fourth proportional to 14,677.80, 22,016.70 and 9,148.20 is: 13,722.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.80 : 22,016.70 = 9,148.20 : x
  2. Step 2: Convert to fraction form
    14,677.80/22,016.70 = 9,148.20/x
  3. Step 3: Cross multiply
    14,677.80x = 22,016.70 × 9,148.20
  4. Step 4: Simplify right side
    14,677.80x = 201,413,174.94
  5. Step 5: Solve for x
    x = 201,413,174.94/14,677.80
  6. Step 6: Final answer
    x = 13,722.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.