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Finding the Fourth Proportional to 14,460.48, 19,956 and 8,172.48

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Solution

The fourth proportional to 14,460.48, 19,956 and 8,172.48 is: 11,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,460.48 : 19,956 = 8,172.48 : x
  2. Step 2: Convert to fraction form
    14,460.48/19,956 = 8,172.48/x
  3. Step 3: Cross multiply
    14,460.48x = 19,956 × 8,172.48
  4. Step 4: Simplify right side
    14,460.48x = 163,090,010.88
  5. Step 5: Solve for x
    x = 163,090,010.88/14,460.48
  6. Step 6: Final answer
    x = 11,278.33

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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.