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Finding the Fourth Proportional to 14,244, 19,656.84 and 7,957.68

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Solution

The fourth proportional to 14,244, 19,656.84 and 7,957.68 is: 10,981.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,244 : 19,656.84 = 7,957.68 : x
  2. Step 2: Convert to fraction form
    14,244/19,656.84 = 7,957.68/x
  3. Step 3: Cross multiply
    14,244x = 19,656.84 × 7,957.68
  4. Step 4: Simplify right side
    14,244x = 156,422,842.53
  5. Step 5: Solve for x
    x = 156,422,842.53/14,244
  6. Step 6: Final answer
    x = 10,981.67

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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.