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Finding the Fourth Proportional to 14,761.84, 22,142.70 and 3,668.32

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Solution

The fourth proportional to 14,761.84, 22,142.70 and 3,668.32 is: 5,502.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761.84 : 22,142.70 = 3,668.32 : x
  2. Step 2: Convert to fraction form
    14,761.84/22,142.70 = 3,668.32/x
  3. Step 3: Cross multiply
    14,761.84x = 22,142.70 × 3,668.32
  4. Step 4: Simplify right side
    14,761.84x = 81,226,509.26
  5. Step 5: Solve for x
    x = 81,226,509.26/14,761.84
  6. Step 6: Final answer
    x = 5,502.47

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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.