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Finding the Fourth Proportional to 14,229.10, 19,636.13 and 7,941.47

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Solution

The fourth proportional to 14,229.10, 19,636.13 and 7,941.47 is: 10,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.10 : 19,636.13 = 7,941.47 : x
  2. Step 2: Convert to fraction form
    14,229.10/19,636.13 = 7,941.47/x
  3. Step 3: Cross multiply
    14,229.10x = 19,636.13 × 7,941.47
  4. Step 4: Simplify right side
    14,229.10x = 155,939,737.31
  5. Step 5: Solve for x
    x = 155,939,737.31/14,229.10
  6. Step 6: Final answer
    x = 10,959.21

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