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Finding the Fourth Proportional to 14,703.12, 20,293.20 and 8,419.68

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Solution

The fourth proportional to 14,703.12, 20,293.20 and 8,419.68 is: 11,620.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,703.12 : 20,293.20 = 8,419.68 : x
  2. Step 2: Convert to fraction form
    14,703.12/20,293.20 = 8,419.68/x
  3. Step 3: Cross multiply
    14,703.12x = 20,293.20 × 8,419.68
  4. Step 4: Simplify right side
    14,703.12x = 170,862,250.18
  5. Step 5: Solve for x
    x = 170,862,250.18/14,703.12
  6. Step 6: Final answer
    x = 11,620.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.