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Finding the Fourth Proportional to 14,496, 20,004.48 and 7,872

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Solution

The fourth proportional to 14,496, 20,004.48 and 7,872 is: 10,863.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496 : 20,004.48 = 7,872 : x
  2. Step 2: Convert to fraction form
    14,496/20,004.48 = 7,872/x
  3. Step 3: Cross multiply
    14,496x = 20,004.48 × 7,872
  4. Step 4: Simplify right side
    14,496x = 157,475,266.56
  5. Step 5: Solve for x
    x = 157,475,266.56/14,496
  6. Step 6: Final answer
    x = 10,863.36

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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.