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Finding the Fourth Proportional to 14,677.71, 22,007.19 and 9,674.30

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Solution

The fourth proportional to 14,677.71, 22,007.19 and 9,674.30 is: 14,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.71 : 22,007.19 = 9,674.30 : x
  2. Step 2: Convert to fraction form
    14,677.71/22,007.19 = 9,674.30/x
  3. Step 3: Cross multiply
    14,677.71x = 22,007.19 × 9,674.30
  4. Step 4: Simplify right side
    14,677.71x = 212,904,249.51
  5. Step 5: Solve for x
    x = 212,904,249.51/14,677.71
  6. Step 6: Final answer
    x = 14,505.28

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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.