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Finding the Fourth Proportional to 14,201.77, 19,595.29 and 8,151.64

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Solution

The fourth proportional to 14,201.77, 19,595.29 and 8,151.64 is: 11,247.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.77 : 19,595.29 = 8,151.64 : x
  2. Step 2: Convert to fraction form
    14,201.77/19,595.29 = 8,151.64/x
  3. Step 3: Cross multiply
    14,201.77x = 19,595.29 × 8,151.64
  4. Step 4: Simplify right side
    14,201.77x = 159,733,709.02
  5. Step 5: Solve for x
    x = 159,733,709.02/14,201.77
  6. Step 6: Final answer
    x = 11,247.45

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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.