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Finding the Fourth Proportional to 14,472, 19,971.48 and 7,848

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Solution

The fourth proportional to 14,472, 19,971.48 and 7,848 is: 10,830.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,472 : 19,971.48 = 7,848 : x
  2. Step 2: Convert to fraction form
    14,472/19,971.48 = 7,848/x
  3. Step 3: Cross multiply
    14,472x = 19,971.48 × 7,848
  4. Step 4: Simplify right side
    14,472x = 156,736,175.04
  5. Step 5: Solve for x
    x = 156,736,175.04/14,472
  6. Step 6: Final answer
    x = 10,830.31

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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.