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Finding the Fourth Proportional to 14,461, 19,956.18 and 7,837

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Solution

The fourth proportional to 14,461, 19,956.18 and 7,837 is: 10,815.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461 : 19,956.18 = 7,837 : x
  2. Step 2: Convert to fraction form
    14,461/19,956.18 = 7,837/x
  3. Step 3: Cross multiply
    14,461x = 19,956.18 × 7,837
  4. Step 4: Simplify right side
    14,461x = 156,396,582.66
  5. Step 5: Solve for x
    x = 156,396,582.66/14,461
  6. Step 6: Final answer
    x = 10,815.06

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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.