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Finding the Fourth Proportional to 14,225.22, 19,632.78 and 7,938

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Solution

The fourth proportional to 14,225.22, 19,632.78 and 7,938 is: 10,955.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,225.22 : 19,632.78 = 7,938 : x
  2. Step 2: Convert to fraction form
    14,225.22/19,632.78 = 7,938/x
  3. Step 3: Cross multiply
    14,225.22x = 19,632.78 × 7,938
  4. Step 4: Simplify right side
    14,225.22x = 155,845,007.64
  5. Step 5: Solve for x
    x = 155,845,007.64/14,225.22
  6. Step 6: Final answer
    x = 10,955.54

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Why These Related Problems?

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