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Finding the Fourth Proportional to 14,896.44, 22,329 and 5,032.28

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Solution

The fourth proportional to 14,896.44, 22,329 and 5,032.28 is: 7,543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.44 : 22,329 = 5,032.28 : x
  2. Step 2: Convert to fraction form
    14,896.44/22,329 = 5,032.28/x
  3. Step 3: Cross multiply
    14,896.44x = 22,329 × 5,032.28
  4. Step 4: Simplify right side
    14,896.44x = 112,365,780.12
  5. Step 5: Solve for x
    x = 112,365,780.12/14,896.44
  6. Step 6: Final answer
    x = 7,543.13

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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.