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Finding the Fourth Proportional to 14,448.92, 21,656.10 and 5,209.88

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Solution

The fourth proportional to 14,448.92, 21,656.10 and 5,209.88 is: 7,808.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,448.92 : 21,656.10 = 5,209.88 : x
  2. Step 2: Convert to fraction form
    14,448.92/21,656.10 = 5,209.88/x
  3. Step 3: Cross multiply
    14,448.92x = 21,656.10 × 5,209.88
  4. Step 4: Simplify right side
    14,448.92x = 112,825,682.27
  5. Step 5: Solve for x
    x = 112,825,682.27/14,448.92
  6. Step 6: Final answer
    x = 7,808.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.