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Finding the Fourth Proportional to 14,256.84, 19,673.36 and 7,968

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Solution

The fourth proportional to 14,256.84, 19,673.36 and 7,968 is: 10,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,256.84 : 19,673.36 = 7,968 : x
  2. Step 2: Convert to fraction form
    14,256.84/19,673.36 = 7,968/x
  3. Step 3: Cross multiply
    14,256.84x = 19,673.36 × 7,968
  4. Step 4: Simplify right side
    14,256.84x = 156,757,332.48
  5. Step 5: Solve for x
    x = 156,757,332.48/14,256.84
  6. Step 6: Final answer
    x = 10,995.24

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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.