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Finding the Fourth Proportional to 14,709.17, 20,298.16 and 8,420.33

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Solution

The fourth proportional to 14,709.17, 20,298.16 and 8,420.33 is: 11,619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.17 : 20,298.16 = 8,420.33 : x
  2. Step 2: Convert to fraction form
    14,709.17/20,298.16 = 8,420.33/x
  3. Step 3: Cross multiply
    14,709.17x = 20,298.16 × 8,420.33
  4. Step 4: Simplify right side
    14,709.17x = 170,917,266.86
  5. Step 5: Solve for x
    x = 170,917,266.86/14,709.17
  6. Step 6: Final answer
    x = 11,619.77

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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.