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Finding the Fourth Proportional to 14,480, 19,982.48 and 7,856

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Solution

The fourth proportional to 14,480, 19,982.48 and 7,856 is: 10,841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480 : 19,982.48 = 7,856 : x
  2. Step 2: Convert to fraction form
    14,480/19,982.48 = 7,856/x
  3. Step 3: Cross multiply
    14,480x = 19,982.48 × 7,856
  4. Step 4: Simplify right side
    14,480x = 156,982,362.88
  5. Step 5: Solve for x
    x = 156,982,362.88/14,480
  6. Step 6: Final answer
    x = 10,841.32

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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.