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Finding the Fourth Proportional to 14,473.68, 19,977.60 and 8,507.26

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Solution

The fourth proportional to 14,473.68, 19,977.60 and 8,507.26 is: 11,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,473.68 : 19,977.60 = 8,507.26 : x
  2. Step 2: Convert to fraction form
    14,473.68/19,977.60 = 8,507.26/x
  3. Step 3: Cross multiply
    14,473.68x = 19,977.60 × 8,507.26
  4. Step 4: Simplify right side
    14,473.68x = 169,954,637.38
  5. Step 5: Solve for x
    x = 169,954,637.38/14,473.68
  6. Step 6: Final answer
    x = 11,742.32

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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.